Question

How do you solve `1/2((360-x)-x)=75`?

Answer 1

`x = 105`

Explanation:

`1/2((360-x)-x)=75`

While we could use the distributive law and multiply the `1/2` into the bracket, this is not the best method when we are trying to solve the equation. We want LESS on the left side, not MORE.

Multiply both sides by 2 to cancel the denominator.

: `color(blue)cancel2xx1/cancel2((360-x)-x)=color(blue)2xx75`

`360 -x-x = 150`

`360 -150 = 2x`

`210 = 2x`

`x = 105`