# How do you solve 5(x+3)=7#?

Feb 21, 2017

$x = - \frac{8}{5}$

#### Explanation:

distribute the bracket on the left side of the equation.

$\Rightarrow 5 x + 15 = 7$

Isolate 5x by subtracting 15 from both sides of the equation.

$5 x \cancel{+ 15} \cancel{- 15} = 7 - 15$

$\Rightarrow 5 x = - 8$

To solve for x, divide both sides by 5

$\frac{\cancel{5} x}{\cancel{5}} = \frac{- 8}{5}$

$\Rightarrow x = - \frac{8}{5}$

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

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

$5 \left(\textcolor{red}{- \frac{8}{5}} + 3\right) = {\cancel{5}}^{1} \times - \frac{8}{\cancel{5}} ^ 1 + \left(5 \times 3\right) = - 8 + 15 = 7$

$\Rightarrow x = - \frac{8}{5} \text{ is the solution}$