# How do you solve for x in 1/2( x - 3 ) + (3/2 - x ) = 5x?

Jul 25, 2016

$x = 0$

#### Explanation:

Remove the brackets first.

$\frac{1}{2} x - \frac{3}{2} + \frac{3}{2} - x = 5 x \text{ x 2 to get rid of denominators}$

$\cancel{\textcolor{b l u e}{2}} \times \frac{1}{\cancel{2}} x - \textcolor{b l u e}{\cancel{2}} \times \frac{3}{\cancel{2}} + \textcolor{b l u e}{\cancel{2}} \times \frac{3}{\cancel{2}} - \textcolor{b l u e}{2} \times x = \textcolor{b l u e}{2} \times 5 x$

$x - 3 + 3 - 2 x = 10 x$

$0 = x$