# How do you simplify 2(3/4x+7)+(-3)(1/2x+(-5))?

Jan 5, 2017

$29$

#### Explanation:

Noting that +(-) can be replaced by - we can rewrite the expression as.

$2 \left(\frac{3}{4} x + 7\right) - 3 \left(\frac{1}{2} x - 5\right)$

distributing the brackets.

=color(red)(3/2x)color(blue)(+14)color(red)(-3/2x)color(blue)(+15

collecting like terms and simplifying.

$= \textcolor{red}{\frac{3}{2} x - \frac{3}{2} x} \textcolor{b l u e}{+ 14 + 15}$

$= 0 + 29 = 29$