Question

" \frac{2x}{5} = 9 - \frac{x}{2} " alt=" \frac{2x}{5} = 9 - \frac{x}{2} " align="absmiddle" class="latex-formula">

Answer 1

Add $\frac{x}{2}$ to both sides:

$\dfrac{2x}{5}+\frac{x}{2} = 9$

Add the fractions in the left hand side:

$\dfrac{2x}{5}+\frac{x}{2} = \dfrac{4x}{10}+\frac{5x}{10}=\dfrac{9x}{10}$

So, the equation becomes

$\dfrac{9x}{10}= 9$

Multiply both sides by 10:

$9x = 90$

Divide both sides by 9:

$x = 10$