# How do you simplify -5(x-7)?

##### 1 Answer
Apr 14, 2018

$- 5 x + 35$

#### Explanation:

The easiest way to solve this problem is to use the distributive property:

Basically you multiply the number outside the parentheses by everything inside the parentheses.

$\textcolor{b l u e}{- 5} \left(\textcolor{\mathmr{and} a n \ge}{x} \textcolor{g r e e n}{- 7}\right)$

$\left(\textcolor{b l u e}{- 5} \times \textcolor{\mathmr{and} a n \ge}{x}\right)$ $+ \left(\textcolor{b l u e}{- 5} \times \textcolor{g r e e n}{- 7}\right)$

$- 5 x + \left(+ 35\right)$

$\textcolor{w h i t e}{\text{xxxxxxxxx}}$$\uparrow$ remember that "negative" xx "negative" = "positive". That's why $35$ is positive.

$- 5 x + 35$