Question

How do you solve `-6( x + 2) - 4x + 4= 8x - 152`?

Answer 1

`x = 8`

Explanation:

To complete this problem you must isolate and solve for `x` while always keeping the equation balanced:

First expand the terms in parenthesis:

`(-6*x) + (-6*2) - 4x + 4 = 8x - 152`

`-6x - 12 - 4x + 4 = 8x - 152`

Next, combine like terms on each side of the equation:

`(-6 - 4)x + (-12 + 4) = 8x - 152`

`-10x - 8 = 8x - 152`

Then add 152 to each side of the equation:

`-10x - 8 + 152 = 8x -152 + 152`

`-10x + 144 = 8x`

Next, add `10x` to each side of the equation:

10x - 10 + 144 = 10x + 8x#

`144 = 18x`

Finally divide each side of the equation by 18:

`144/18 = (18x)/18`

`8 = x`