# How do you solve -6(-2x+2)+4(3+4x)=28 using the distributive property?

Aug 22, 2016

x = 1

#### Explanation:

The $\textcolor{b l u e}{\text{distributive property}}$ means multiply each of the terms inside the bracket by the number outside the bracket.

In general terms this can be shown as.

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{a \left(b + c\right) = a b + a c} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow \left(- 6 \times - 2 x\right) + \left(- 6 \times 2\right) + \left(4 \times 3\right) + \left(4 \times 4 x\right) = 28$

$\Rightarrow 12 x - \cancel{12} + \cancel{12} + 16 x = 28$

$\Rightarrow 28 x = 28$

$\frac{{\cancel{28}}^{1} x}{\cancel{28}} ^ 1 = {\cancel{28}}^{1} / {\cancel{28}}^{1} \Rightarrow x = 1$