# How do you solve 2(8x-1)+7(x+5)=-59?

Nov 23, 2016

$x = - 4$

#### Explanation:

Distribute the brackets, collect terms in x on the left side of the equation and numeric values on the right side.

$\Rightarrow 16 x - 2 + 7 x + 35 = - 59$

simplify the left side by collecting like terms.

$\Rightarrow 23 x + 33 = - 59$

subtract 33 from both sides.

$23 x \cancel{+ 33} \cancel{- 33} = - 59 - 33$

$\Rightarrow 23 x = - 92$

To solve for x, divide both sides by 23

$\frac{\cancel{23} x}{\cancel{23}} = \frac{- 92}{23}$

$\Rightarrow x = - 4 \text{ is the solution}$