Basic Math Examples

$\frac{1}{3} \cdot (m - 4) = 5$

Step 1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (m - 4)) = 3 \cdot 5$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $3 (\frac{1}{3} \cdot (m - 4))$ .

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Step 2.1.1.1

Apply the distributive property.

$3 (\frac{1}{3} m + \frac{1}{3} \cdot - 4) = 3 \cdot 5$

Step 2.1.1.2

Combine $\frac{1}{3}$ and $m$ .

$3 (\frac{m}{3} + \frac{1}{3} \cdot - 4) = 3 \cdot 5$

Step 2.1.1.3

Combine $\frac{1}{3}$ and $- 4$ .

$3 (\frac{m}{3} + \frac{- 4}{3}) = 3 \cdot 5$

Step 2.1.1.4

Move the negative in front of the fraction.

$3 (\frac{m}{3} - \frac{4}{3}) = 3 \cdot 5$

Step 2.1.1.5

Apply the distributive property.

$3 \frac{m}{3} + 3 (- \frac{4}{3}) = 3 \cdot 5$

Step 2.1.1.6

Cancel the common factor of $3$ .

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Step 2.1.1.6.1

Cancel the common factor.

$3 \frac{m}{3} + 3 (- \frac{4}{3}) = 3 \cdot 5$

Step 2.1.1.6.2

Rewrite the expression.

$m + 3 (- \frac{4}{3}) = 3 \cdot 5$

Step 2.1.1.7

Cancel the common factor of $3$ .

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Step 2.1.1.7.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$m + 3 (\frac{- 4}{3}) = 3 \cdot 5$

Step 2.1.1.7.2

Cancel the common factor.

$m + 3 (\frac{- 4}{3}) = 3 \cdot 5$

Step 2.1.1.7.3

Rewrite the expression.

$m - 4 = 3 \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $3$ by $5$ .

$m - 4 = 15$

Step 3

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

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Step 3.1

Add $4$ to both sides of the equation.

$m = 15 + 4$

Step 3.2

Add $15$ and $4$ .

$m = 19$