# How do you solve 5x+1/3=2x-3/2?

Feb 3, 2016

$x = - \frac{11}{18}$

#### Explanation:

In order to solve this equation, you must first isolate the variable by transposing those with the given variable on one side and leaving the terms without the variable on the other side of the equation.

$5 x + \frac{1}{3} = 2 x - \frac{3}{2}$
$5 x - 2 x = - \frac{3}{2} - \frac{1}{3}$

After transposing, simplify the equation to get the final answer.

$5 x - 2 x = - \frac{3}{2} - \frac{1}{3}$
$3 x = - \frac{9}{6} - \frac{2}{6}$
$3 x = - \frac{11}{6}$
$x = - \frac{11}{18}$