How do you solve \frac { 1} { 2} x - \frac { 2} { 5} = \frac { 4} { 5}?

Jun 26, 2018

$x = \frac{12}{5}$

Explanation:

$\implies \frac{1}{2} x - \frac{2}{5} = \frac{4}{5}$

Add $\frac{2}{5}$ on both the sides

$\implies \frac{1}{2} x - \cancel{\frac{2}{5}} + \cancel{\frac{2}{5}} = \frac{4}{5} + \frac{2}{5}$

$\implies \frac{1}{2} x = \frac{4}{5} + \frac{2}{5}$

$\implies \frac{1}{2} x = \frac{4 + 2}{5}$

$\implies \frac{1}{2} x = \frac{6}{5}$

Multiply both sides by $2$

=> 1/cancel(2)x × cancel(2) = 6/5 × 2

$\implies x = \frac{12}{5}$