# How do you solve \frac { 5x + 6} { 4} = 3x - 2?

Oct 13, 2016

The solution is $x = 2$.

#### Explanation:

Begin by multiplying both sides of the equation by the denominator, then use inverse operations to get all the variable terms on one side of the equals sign and all the constants on the other side. Then sole for the variable.

$4 \left[\frac{5 x + 6}{4}\right] = 4 \left(3 x - 2\right)$
Remember that on the left side of the equation, the fours cross-reduce to ones.

$5 x + 6 = 12 x - 8$
$5 x - 12 x + 6 = 12 x - 12 x - 8$
$- 7 x + 6 = - 8$
$- 7 x + 6 - 6 = - 8 - 6$
$- 7 x = - 14$
$\frac{- 7 x}{-} 7 = \frac{- 14}{-} 7$
$x = 2$