# How do you simplify 4( 3+ 2x ) + 8= 92?

Oct 17, 2016

The solution of the equation is $x = 9$.

#### Explanation:

First you must simplify the left side of the equation. This begins with distributing the $4$, and concludes with combining the like terms on the left side.

$4 \left(3 + 2 x\right) + 8 = 92$
$12 + 8 x + 8 = 92$
$8 x + 20 = 92$

Now that the equation is in simplest terms, it can be solved. Using inverse operations, you must first isolate the variable term and then divide the entire equation by the variable's coefficient.

$8 x + 20 - 20 = 92 - 20$
$8 x = 72$
$\frac{8 x}{8} = \frac{72}{8}$
$x = 9$