Question

How do you solve `8x+6-5x=12`?

Answer 1

`x=2`

Explanation:

`8x + 6 -5x =12`

`3x + 6 = 12`

Subtract `6` from left and right

`3x + 6 - 6 = 12 - 6`

`3x=6`

Then divide both sides by `3`

`(3x)/3=6/3`

`x=2`

Answer 2

`x=2`

Explanation:

First, you should combine your like terms. Note how you have `8x` and `-5x`. Since these two terms have matching variables and matching exponents, you can add them together.

`(8x+(-5x))+6=12` Simplify.
`3x+6=12`

Next, you balance the equation. Remember that in order to do this, you run down PEMDAS, but in reverse. So first, we subtract six from both sides.

`3x+6-6=12-6` Simplify.
`3x=6`

Now all you have left is multiplication, the inverse of which is division. Divide both sides by 3.

`"3x"/3=6/3` Simplify.

`x=2`