Question

How do you simplify `\frac{1}{3}(\frac{4}{3}x-\frac{11}{6})=-\frac{9}{4}+2(x+\frac{5}{6})`?

Answer 1

`5/24=x`

Explanation:

First, let's simplify our components. `1/3(4/3x-11/6)=-9/4+2(x+5/6)` becomes `4/9-11/18=-9/4+2x+5/3`

We can simplify `4/9-11/18` by changing `4/9 to 8/18`. `8/18-11/18= -1/6`.

So now we have `-1/6=-9/4+2x+5/3`. `-9/4+5/3` becomes `-7/12`.

Our equation is now `-1/6=2x-7/12`. Add `-7/12` on both sides and we have `5/12=2x`. Divide by `2` on both sides, and we have `5/24=x`