# How do you solve -(1+7x)-6(-7-x)=36?

May 22, 2018

$x = 5$

#### Explanation:

First I would multiply both sides with $- 1$:
$- \left(1 + 7 x\right) - 6 \left(- 7 - x\right) = 36$
$\implies 1 + 7 x + 6 \left(- 7 - x\right) = - 36$
$\implies 1 + 7 x - 42 - 6 x = - 36$ (Multiply 6 with each term in the parenthesis.
$\implies x - 41 + 41 = - 36 + 41$ (add 41 to both sides to get only the unknown to the left of the equality sign)
$0 > x = 5$

Last step is to use the value of $x = 5$ in the original equation to see if the left side equals the right side. I'll leave that to you.