# How do you solve \frac { 4} { 5} x + \frac { 7} { 2} = \frac { 3} { 10}?

Jan 21, 2018

See below

#### Explanation:

$\frac{4}{5} x + \frac{7}{2} = \frac{3}{10}$

First take LCM on both the sides

$\to \frac{8 x + 35 = 3}{10}$

Now you can eliminate the LCM

$\to 8 x + 35 = 3$

$\to 8 x = 3 - 35$

$\to 8 x = - 32$

Divide both sides by 8

$\to {\cancel{8}}^{1} \cdot \frac{x}{\cancel{8}} = {\cancel{- 32}}^{-} \frac{4}{\cancel{8}}$

$\to x = - 4$

Jan 21, 2018

take LCM and solve

#### Explanation:

taking LCM in
$\frac{4}{5} x + \frac{7}{2} = \frac{3}{10}$

$\implies \frac{8}{10} x + \frac{35}{10} = \frac{3}{10}$

$\implies 8 x + 35 = 3$

$\implies 8 x = - 32$

$\implies x = - 4$
hope u find it helpful :)