# How do you solve 20=14+3(x+8)?

Mar 27, 2018

$x = - 6$

#### Explanation:

$\text{distribute parenthesis on the right side of the equation}$

$20 = 14 + 3 x + 24$

$\Rightarrow 20 = 38 + 3 x$

$\text{subtract 38 from both sides}$

$20 - 38 = \cancel{38} \cancel{- 38} + 3 x$

$\Rightarrow - 18 = 3 x$

$\text{divide both sides by 3}$

$\frac{- 18}{3} = \frac{\cancel{3} x}{\cancel{3}}$

$\Rightarrow x = - 6$

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

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

$14 + 3 \left(2\right) = 14 + 6 = 20 = \text{left side}$

$\Rightarrow x = - 6 \text{ is the solution}$

Mar 27, 2018

$x = - 6$

#### Explanation:

Distribute the $3$

$20 = 14 + 3 x + 24$

$20 = 38 + 3 x$

Subtract $38$ from both sides

$20 - 38 = 3 x$

$- 18 = 3 x$

Divide both sides by $3$ to isolate $x$

$- 6 = x$