Question

How do you solve `6( h + 2) + 2h - 4= 8( h + 2) + 8`?

Answer 1

`x` has no value. The equation has no solution.

Explanation:

1. Expand brackets on both sides, by multiplying the terms inside the brackets by the number outside.
   `6h + 12 + 2h - 4 = 8h + 16 + 8`

2. Group and put all terms of h on one side of the equal sign, and all other terms on the other side of the equal sign.
   `6h + 2h - 8h = 16 + 8 - 12 + 4`

3. Reduce terms
   `0h = 16`
   `0 =16`

We have ended up with a statement which is FALSE and there is no `x` left to solve for.! What does this tell us?

This means that there is no solution for the equation. There is no value of `x` which will make the equation true.