Question

How do you simplify `4[2x-(3-5x)] + 3[3x-(4+x)]`?

Answer 1

`34x - 24`

Explanation:

`4[2x-(3-5x) + 3[3x-(4+x)]`

We will be using the distributive property (shown below) to simplify many parts of this expression:

First, use the distributive property to distribute the negative signs:
`4[2x - 3 + 5x] + 3[3x-4-x]`

Combine like terms inside the brackets:
`4[7x - 3] + 3[2x - 4]`

Use the distributive property to distribute the terms outside the brackets:
`28x - 12 + 6x - 12`

Color-code the like terms:
`color(red)(28x) quadcolor(blue)(-quad12) quadcolor(red)(+quad6x) quadcolor(blue)(-quad12)`

Combine like terms;
`34x - 24`

Hope this helps!