Question

How do you solve `5(x-3)+2(3-x)=12`?

Answer 1

`x=7`

Explanation:

`5(x−3)+2(3−x)=12`

`5 xx (x) + 5 xx (−3)+2 xx (3) + 2 xx (−x)=12`

`5x -15 + 6 -2x=12`

`5x -9 -2x=12`

`3x -9 =12`

`3x =12 +9`

`3x =21`

`x =21/3`

`x=7`

Answer 2

`x=7`

Explanation:

`color(blue)(5(x-3)+2(3-x)=12`

Use distributive property `color(red)(a(b+c)=ab+ac`

`rarr(5x-15)+(6-2x)=12`

Remove the brackets

`rarr5x-15+6-2x=12`

`rarr3x-9=12`

Add `9` both sides

`rarr3x=12+9`

`rarr3x=21`

`rArrcolor(green)(x=21/3=7`