# How do you solve 5x + 7= \frac { 3} { 2} x + 63?

Mar 4, 2017

$x = 16$

#### Explanation:

$5 x + 7 = \frac{3}{2} x + 63$

$\therefore \frac{10}{2} x - \frac{3}{2} x = 63 - 7$

$\therefore \frac{7}{2} x = 56$

multiply L.HS. and R.H.S. by $\textcolor{b l u e}{2}$

$\therefore \textcolor{b l u e}{\cancel{2}} \times \frac{7}{\cancel{2}} x = 56 \times \textcolor{b l u e}{2}$

$\therefore 7 x = 112$

:.color(blue)(x=16

check:

substitute $x = \textcolor{b l u e}{16}$

$\textcolor{b l u e}{5} \left(\textcolor{b l u e}{16}\right) + 7 = \frac{3}{2} \left(\textcolor{b l u e}{16}\right) + 63$

$\therefore 80 + 7 = \frac{48}{2} + 63$

$\therefore 87 = 24 + 63$

$\therefore 87 = 87$