Question

What is the answer to 5x + 24 = 3(x + 8) + 2x

Answer 1

x can be any real number.

Explanation:

`5x + 24 = 3(x + 8) + 2x`

Expand using the rule:

`x(y + z) = xy + xz`

Hence,

`5x + 24 = 3 * x + 3 * 8 + 2x`

`5x + 24 = 3x + 24 + 2x`

`5x + 24 = 5x + 24`

Subtract 5x+24 from both sides:

`0 = 0`

This means that there are infinite solutions, and x can be any number.