# How do you solve 3( 2- x ) + 6x = 18?

Mar 26, 2018

By arranging the equation

#### Explanation:

$6 - 3 x + 6 x = 18$

after multiplying 3 by the first term.

$6 + 3 x = 18$

$3 x = 18 - 6$

$3 x = 12$

$x = \frac{12}{3} = 4$

Your answer is $x = 4$

Mar 26, 2018

$x = 4$

#### Explanation:

$\text{distribute parenthesis on left side of equation}$

$6 - 3 x + 6 x = 18 \leftarrow \textcolor{b l u e}{\text{simplify left side}}$

$\Rightarrow 6 + 3 x = 18$

$\text{subtract 6 from both sides}$

$\cancel{6} \cancel{- 6} + 3 x = 18 - 6$

$\Rightarrow 3 x = 12$

$\text{divide both sides by 3}$

$\frac{\cancel{3} x}{\cancel{3}} = \frac{12}{3}$

$\Rightarrow x = 4$

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

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

$\left(3 \times - 2\right) + \left(6 \times 4\right) = - 6 + 24 = 18 = \text{ right side}$

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