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

1 Answer
Jul 31, 2016

Answer:

#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#