# How do you solve 7x + 9 = 15/2x + 6?

Mar 4, 2016

$x = 6$

#### Explanation:

Solve
$7 x + 9 = \frac{15}{2} x + 6$ Begin by multiplying by 2 to eliminate the fraction.
$2 \left[7 x + 9 = \frac{15}{2} x + 6\right]$ = $14 x + 18 = 15 x + 12$
Move the variables to the same side by additive inverse
$14 x + 18 - 14 x = 15 x + 12 - 14 x$
$18 = 1 x + 12$ isolate the variable term by additive inverse
$18 - 12 = 1 x + 12 - 12$
$6 = x$