Question

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

Answer 1

x = 1

Explanation:

The `color(blue)"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.

`color(red)(|bar(ul(color(white)(a/a)color(black)(a(b+c)=ab+ac)color(white)(a/a)|)))`

`rArr(-6xx-2x)+(-6xx2)+(4xx3)+(4xx4x)=28`

`rArr12x-cancel(12)+cancel(12)+16x=28`

`rArr28x=28`

`(cancel(28)^1 x)/cancel(28)^1=cancel(28)^1/cancel(28)^1rArrx=1`