Precalculus Examples

$3 (\frac{x + 3}{8}) - 8$

Step 1

Combine $3$ and $\frac{x + 3}{8}$ .

$\frac{3 (x + 3)}{8} - 8$

Step 2

To write $- 8$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{3 (x + 3)}{8} - 8 \cdot \frac{8}{8}$

Step 3

Simplify terms.

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Step 3.1

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

$\frac{3 (x + 3)}{8} + \frac{- 8 \cdot 8}{8}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{3 (x + 3) - 8 \cdot 8}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{3 x + 3 \cdot 3 - 8 \cdot 8}{8}$

Step 4.2

Multiply $3$ by $3$ .

$\frac{3 x + 9 - 8 \cdot 8}{8}$

Step 4.3

Multiply $- 8$ by $8$ .

$\frac{3 x + 9 - 64}{8}$

Step 4.4

Subtract $64$ from $9$ .

$\frac{3 x - 55}{8}$