# How do you solve 2x - (3/4) + (4/3) = 8 + (4/3)?

Dec 5, 2015

color(blue)(x=35/8

#### Explanation:

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

It can be observed that the term $\frac{4}{3}$ is present on both the L.H.S and R.H.S, so it can be cancelled out.

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

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

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

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

$2 x = \frac{32}{4} + \frac{3}{4}$

$\textcolor{b l u e}{2} x = \left(\frac{35}{4}\right)$

x = (35/4) *color(blue)(1/2

color(blue)(x=35/8