# How do you solve 6(x+3)=48 using the distributive property?

Jul 31, 2017

$x = 5$

#### Explanation:

$\text{multiply the terms in the bracket by 6}$

$\Rightarrow 6 x + 18 = 48$

$\text{subtract 18 from both sides}$

$6 x \cancel{+ 18} \cancel{- 18} = 48 - 18$

$\Rightarrow 6 x = 30$

$\text{divide both sides by 6}$

$\frac{\cancel{6} x}{\cancel{6}} = \frac{30}{6}$

$\Rightarrow x = 5$

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

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

$6 \left(5 + 3\right) = 6 \times 8 = 48 = \text{ right side}$

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