# How do you solve 5x+2=6?

Mar 6, 2017

$x = \frac{4}{5}$

#### Explanation:

Isolate 5x by subtracting 2 from both sides of the equation.

$5 x \cancel{+ 2} \cancel{- 2} = 6 - 2$

$\Rightarrow 5 x = 4$

To solve for x, divide both sides by 5

$\frac{\cancel{5} x}{\cancel{5}} = \frac{4}{5}$

$\Rightarrow x = \frac{4}{5}$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side and if equal to the right side then it is the solution.

$\left({\cancel{5}}^{1} \times \frac{4}{\cancel{5}} ^ 1\right) + 2 = 4 + 2 = 6 = \text{ right side}$

$\Rightarrow x = \frac{4}{5} \text{ is the solution}$