Question

Question #ad88d

Answer 1

`x=32/7`

Explanation:

The first step is to multiply the `1/2` term through the `(x-6)` term.

`1/2x-1/2(6)+1/4(x-12) = 2 - x`

Because one half of six is three, we can rewrite it as

`1/2x-3+1/4(x-12)=2-x`

Next, multiply the `1/4` term through the `(x-12)` term.

`1/2x - 3 + 1/4x-1/4(12)=2-x`

Because one quarter of 12 is 3, we can rewrite it as

`1/2x - 3 + 1/4x-3=2-x`

You can combine the `1/2x` and the `1/4x`. Because

`1/2+1/4=2/4 + 1/4=3/4`, we can rewrite our equation as

`3/4x - 3 -3=2-x`

Because negative 3 minus 3 is negative six, we can rewrite

`3/4x-6=2-x`

Add `6` to both sides

`3/4x=8-x`

Add `x` to both sides

`3/4x+x=8`

Because `x` is really just `1xxx`, we can rewrite as

`3/4x+1xxx=8`

`3/4x+4/4x=8`

`7/4x=8`

Multiply both sides by `4`

`7x=32`

Divide both sides by 7

`x=32/7`