How do you solve 3(2x+7)=27 using the distributive property?

May 16, 2017

$x = 1$

Explanation:

$\text{distribute the bracket on the left side}$

$\Rightarrow 6 x + 21 = 27$

$\text{subtract 21 from both sides}$

$6 x \cancel{+ 21} \cancel{- 21} = 27 - 21$

$\Rightarrow 6 x = 6$

$\text{divide both sides by 6}$

$\frac{\cancel{6} x}{\cancel{6}} = \frac{6}{6}$

$\Rightarrow x = 1$

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

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

$3 \left(2 \times 1 + 7\right) = 3 \times 9 = 27 = \text{ right side}$

$\Rightarrow x = 1 \text{ is the solution}$