Basic Math Examples

$88 + 36 = (\frac{8}{38}) (h - 5)$

Step 1

Rewrite the equation as $\frac{8}{38} \cdot (h - 5) = 88 + 36$ .

$\frac{8}{38} \cdot (h - 5) = 88 + 36$

Step 2

Multiply both sides of the equation by $\frac{38}{8}$ .

$\frac{38}{8} (\frac{8}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{38}{8} (\frac{8}{38} \cdot (h - 5))$ .

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Step 3.1.1.1

Cancel the common factor of $38$ and $8$ .

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Step 3.1.1.1.1

Factor $2$ out of $38$ .

$\frac{2 (19)}{8} (\frac{8}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.1.2

Cancel the common factors.

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Step 3.1.1.1.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 19}{2 \cdot 4} (\frac{8}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 19}{2 \cdot 4} (\frac{8}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.1.2.3

Rewrite the expression.

$\frac{19}{4} (\frac{8}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.2

Cancel the common factor of $8$ and $38$ .

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Step 3.1.1.2.1

Factor $2$ out of $8$ .

$\frac{19}{4} (\frac{2 (4)}{38} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.2.2

Cancel the common factors.

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Step 3.1.1.2.2.1

Factor $2$ out of $38$ .

$\frac{19}{4} (\frac{2 \cdot 4}{2 \cdot 19} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.2.2.2

Cancel the common factor.

$\frac{19}{4} (\frac{2 \cdot 4}{2 \cdot 19} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.2.2.3

Rewrite the expression.

$\frac{19}{4} (\frac{4}{19} \cdot (h - 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.3

Apply the distributive property.

$\frac{19}{4} (\frac{4}{19} h + \frac{4}{19} \cdot - 5) = \frac{38}{8} (88 + 36)$

Step 3.1.1.4

Combine $\frac{4}{19}$ and $h$ .

$\frac{19}{4} (\frac{4 h}{19} + \frac{4}{19} \cdot - 5) = \frac{38}{8} (88 + 36)$

Step 3.1.1.5

Multiply $\frac{4}{19} \cdot - 5$ .

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Step 3.1.1.5.1

Combine $\frac{4}{19}$ and $- 5$ .

$\frac{19}{4} (\frac{4 h}{19} + \frac{4 \cdot - 5}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.5.2

Multiply $4$ by $- 5$ .

$\frac{19}{4} (\frac{4 h}{19} + \frac{- 20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.6

Move the negative in front of the fraction.

$\frac{19}{4} (\frac{4 h}{19} - \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.7

Apply the distributive property.

$\frac{19}{4} \cdot \frac{4 h}{19} + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.8

Cancel the common factor of $19$ .

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Step 3.1.1.8.1

Cancel the common factor.

$\frac{19}{4} \cdot \frac{4 h}{19} + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.8.2

Rewrite the expression.

$\frac{1}{4} (4 h) + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.9

Cancel the common factor of $4$ .

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Step 3.1.1.9.1

Factor $4$ out of $4 h$ .

$\frac{1}{4} (4 (h)) + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.9.2

Cancel the common factor.

$\frac{1}{4} (4 h) + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.9.3

Rewrite the expression.

$h + \frac{19}{4} (- \frac{20}{19}) = \frac{38}{8} (88 + 36)$

Step 3.1.1.10

Cancel the common factor of $19$ .

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Step 3.1.1.10.1

Move the leading negative in $- \frac{20}{19}$ into the numerator.

$h + \frac{19}{4} \cdot \frac{- 20}{19} = \frac{38}{8} (88 + 36)$

Step 3.1.1.10.2

Cancel the common factor.

$h + \frac{19}{4} \cdot \frac{- 20}{19} = \frac{38}{8} (88 + 36)$

Step 3.1.1.10.3

Rewrite the expression.

$h + \frac{1}{4} \cdot - 20 = \frac{38}{8} (88 + 36)$

Step 3.1.1.11

Cancel the common factor of $4$ .

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Step 3.1.1.11.1

Factor $4$ out of $- 20$ .

$h + \frac{1}{4} \cdot (4 (- 5)) = \frac{38}{8} (88 + 36)$

Step 3.1.1.11.2

Cancel the common factor.

$h + \frac{1}{4} \cdot (4 \cdot - 5) = \frac{38}{8} (88 + 36)$

Step 3.1.1.11.3

Rewrite the expression.

$h - 5 = \frac{38}{8} (88 + 36)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{38}{8} (88 + 36)$ .

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Step 3.2.1.1

Cancel the common factor of $38$ and $8$ .

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Step 3.2.1.1.1

Factor $2$ out of $38$ .

$h - 5 = \frac{2 (19)}{8} (88 + 36)$

Step 3.2.1.1.2

Cancel the common factors.

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Step 3.2.1.1.2.1

Factor $2$ out of $8$ .

$h - 5 = \frac{2 \cdot 19}{2 \cdot 4} (88 + 36)$

Step 3.2.1.1.2.2

Cancel the common factor.

$h - 5 = \frac{2 \cdot 19}{2 \cdot 4} (88 + 36)$

Step 3.2.1.1.2.3

Rewrite the expression.

$h - 5 = \frac{19}{4} (88 + 36)$

Step 3.2.1.2

Add $88$ and $36$ .

$h - 5 = \frac{19}{4} \cdot 124$

Step 3.2.1.3

Cancel the common factor of $4$ .

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Step 3.2.1.3.1

Factor $4$ out of $124$ .

$h - 5 = \frac{19}{4} \cdot (4 (31))$

Step 3.2.1.3.2

Cancel the common factor.

$h - 5 = \frac{19}{4} \cdot (4 \cdot 31)$

Step 3.2.1.3.3

Rewrite the expression.

$h - 5 = 19 \cdot 31$

Step 3.2.1.4

Multiply $19$ by $31$ .

$h - 5 = 589$

Step 4

Move all terms not containing $h$ to the right side of the equation.

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Step 4.1

Add $5$ to both sides of the equation.

$h = 589 + 5$

Step 4.2

Add $589$ and $5$ .

$h = 594$