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

Mar 30, 2018

$x = \frac{31}{5}$

#### Explanation:

$\frac{5 x - 3}{4} = 7$

Cross multiply

$5 x - 3 = 7 \times 4$

$5 x - 3 = 28$

Then add $33$ on both sides

$5 x - 3 + 3 = 28 + 3$

$5 x = 31$

$x = \frac{31}{5}$

Mar 30, 2018

$x = \frac{31}{5}$

#### Explanation:

$\text{to eliminate the fraction multiply both sides by 4}$

${\cancel{4}}^{1} \times \frac{5 x - 3}{\cancel{4}} ^ 1 = 4 \times 7$

$\Rightarrow 5 x - 3 = 28$

$\text{add 3 to both sides}$

$5 x \cancel{- 3} \cancel{+ 3} = 28 + 3$

$\Rightarrow 5 x = 31$

$\text{divide both sides by 5}$

$\frac{\cancel{5} x}{\cancel{5}} = \frac{31}{5}$

$\Rightarrow x = \frac{31}{5}$

Aug 4, 2018

$x = \frac{31}{5}$

#### Explanation:

To get rid of the $4$ in the denominator, we can multiply both sides by $4$ to get

$5 x - 3 = 28$

Next, add $3$ to both sides to get

$5 x = 31$

Lastly, we can divide both sides by $5$ to get

$x = \frac{31}{5}$

Hope this helps!