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

Mar 13, 2018

Re-arrange the equation such that you get x by itself, such that the equation forms $x > 3$

#### Explanation:

First, move the 2 to the right hand side by subtracting 2 from both sides:

$\frac{2}{3} x > 2$

Next, multiply both sides by the inverse of the fractional coefficient:

$\frac{2}{3} x \cdot \left(\frac{3}{2}\right) > 2 \cdot \left(\frac{3}{2}\right) \Rightarrow \textcolor{red}{x > 3}$