How do you solve x-2/3=4/5?

Apr 29, 2016

$x = \frac{22}{15}$

To solve the equation $x$ must be on it's own on one side of the equals sign.

Explanation:

First, cancel out the $- \frac{2}{3}$ by adding $\frac{2}{3}$ to both sides.

To get the correct answer you must do everything you have done on one side of the equals sign to the other side of the equation.

This would mean $x = \frac{4}{5} + \frac{2}{3}$

To solve $\frac{4}{5} + \frac{2}{3}$, both fractions must have the same denominator. To get the same denominator, multiply $\frac{4}{5}$ by $3$ and multiply $\frac{2}{3}$ by $5$. This doesn't change the value of the fraction, just how it is written.

This would make:

$x = \frac{12}{15} + \frac{10}{15}$

Then simply add across the fractions.

$x = \frac{22}{15}$