# How do you solve 4/3x + 4/3= 4x+3/2?

Mar 7, 2018

$x = - \frac{1}{16}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{4}{3} x + \frac{4}{3} = 4 x + \frac{3}{2}$

If we multiply everything (on both sides) by$6$ we can get rid of the fractions and make this a simpler equation:
$\textcolor{w h i t e}{\text{XXX}} 8 x + 8 = 24 x + 9$

Re-arranging by subtraction $\left(24 x + 8\right)$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} - 16 x = 1$

Then divide both sides by $\left(- 16\right)$
$\textcolor{w h i t e}{\text{XXX}} x = - \frac{1}{16}$