How do you solve 5/2+1/4x=3-3/8x?

Jul 9, 2018

$x = \frac{4}{5}$

Explanation:

As explained below:

Step 1: Shift all variables in one side:

$\frac{5}{2} + \left(\frac{1}{4}\right) x$ = $3 - \left(\frac{3}{8}\right) x$

$\left(\frac{1}{4}\right) x + \left(\frac{3}{8}\right) x$ = $3 - \frac{5}{2}$

Step 2: Simplify both sides:

$\frac{2 x + 3 x}{8}$ = $\frac{\left(2 \times 3\right) - 5}{2}$

$\left(\frac{5}{8}\right) x$ = $\frac{6 - 5}{2}$

$\left(\frac{5}{8}\right) x$ = $\frac{1}{2}$

$x = \frac{1}{2} \times \frac{8}{5}$

$x = \frac{4}{5}$

$\frac{5}{2} + \left(\frac{1}{4} \times \frac{4}{5}\right)$ = $3 - \left(\frac{3}{8} \times \frac{4}{5}\right)$
$\frac{5}{2} + \frac{1}{5}$ = $3 - \frac{3}{10}$
$\frac{25 + 2}{10}$ = $\frac{30 - 3}{10}$
$\frac{27}{10}$ = $\frac{27}{10}$ ----> Right!