Basic Math Examples

$p = 13 + \frac{5 d}{8}$

Step 1

Rewrite the equation as $13 + \frac{5 d}{8} = p$ .

$13 + \frac{5 d}{8} = p$

Step 2

Subtract $13$ from both sides of the equation.

$\frac{5 d}{8} = p - 13$

Step 3

Multiply both sides of the equation by $\frac{8}{5}$ .

$\frac{8}{5} \cdot \frac{5 d}{8} = \frac{8}{5} (p - 13)$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{8}{5} \cdot \frac{5 d}{8}$ .

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Step 4.1.1.1

Cancel the common factor of $8$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{8}{5} \cdot \frac{5 d}{8} = \frac{8}{5} (p - 13)$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{5} (5 d) = \frac{8}{5} (p - 13)$

Step 4.1.1.2

Cancel the common factor of $5$ .

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Step 4.1.1.2.1

Factor $5$ out of $5 d$ .

$\frac{1}{5} (5 (d)) = \frac{8}{5} (p - 13)$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{5} (5 d) = \frac{8}{5} (p - 13)$

Step 4.1.1.2.3

Rewrite the expression.

$d = \frac{8}{5} (p - 13)$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{8}{5} (p - 13)$ .

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Step 4.2.1.1

Apply the distributive property.

$d = \frac{8}{5} p + \frac{8}{5} \cdot - 13$

Step 4.2.1.2

Combine $\frac{8}{5}$ and $p$ .

$d = \frac{8 p}{5} + \frac{8}{5} \cdot - 13$

Step 4.2.1.3

Multiply $\frac{8}{5} \cdot - 13$ .

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Step 4.2.1.3.1

Combine $\frac{8}{5}$ and $- 13$ .

$d = \frac{8 p}{5} + \frac{8 \cdot - 13}{5}$

Step 4.2.1.3.2

Multiply $8$ by $- 13$ .

$d = \frac{8 p}{5} + \frac{- 104}{5}$

Step 4.2.1.4

Move the negative in front of the fraction.

$d = \frac{8 p}{5} - \frac{104}{5}$