Question

What is x?
3(2x + 4) - 8x = -2(x + 1) + 3
50 points because I have a lot :/

Answer 1

There are no values of x that make the equation true.

Answer 2

no solution

Explanation:

Given equation:

3(2x + 4) - 8x = -2(x + 1) + 3

Expand the brackets:

⇒ 3(2x) + 3(4) - 8x = -2(x) - 2(1) + 3

⇒ 6x + 12 - 8x = -2x - 2 + 3

Collect like terms:

⇒ 6x - 8x + 12 = -2x - 2 + 3

Combine like terms:

⇒ -2x + 12 = -2x + 1

Subtract 12 from both sides:

⇒ -2x + 12 - 12 = -2x + 1 - 12

⇒ -2x = -2x - 11

Add 2x to both sides:

⇒ -2x + 2x = -2x +2x - 11

⇒ 0 = -11

The sides are not equal, therefore there is no solution