Question

How do you solve `8+ 8x = x - 6`?

Answer 1

`x = -2`

Explanation:

The first step is to isolate the `x` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`8 - 8 + 8x - x = x - x - 6 - 8`

`0 + 8x - x = 0 - 6 - 8`

`8x - x = - 6 - 8`

Now you can combine like terms:

`(8 - 1)x = -14`

`7x = -14`

Finally, you can solve for `x` while keeping the equation balanced:

`(7x)/7 = (-14)/7`

`(cancel(7)x)/cancel(7) = -2`

`x = -2`