Simplify 15-4(3/2x+8)

$15 - 4 (\frac{3}{2} x + 8)$

Simplify each term.

Combine $\frac{3}{2}$ and $x$ .

$15 - 4 (\frac{3 x}{2} + 8)$

Apply the distributive property.

$15 - 4 \frac{3 x}{2} - 4 \cdot 8$

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

$15 + 2 (- 2) \frac{3 x}{2} - 4 \cdot 8$

Cancel the common factor.

$15 + 2 \cdot - 2 \frac{3 x}{2} - 4 \cdot 8$

Rewrite the expression.

$15 - 2 (3 x) - 4 \cdot 8$

$15 - 2 (3 x) - 4 \cdot 8$

Multiply $3$ by $- 2$ .

$15 - 6 x - 4 \cdot 8$

Multiply $- 4$ by $8$ .

$15 - 6 x - 32$

$15 - 6 x - 32$

Subtract $32$ from $15$ .

$- 6 x - 17$

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