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\frac{3}{4}x-\left(\frac{1}{4}x+60\right)=20
Combine x and -\frac{1}{4}x to get \frac{3}{4}x.
\frac{3}{4}x-\frac{1}{4}x-60=20
To find the opposite of \frac{1}{4}x+60, find the opposite of each term.
\frac{1}{2}x-60=20
Combine \frac{3}{4}x and -\frac{1}{4}x to get \frac{1}{2}x.
\frac{1}{2}x=20+60
Add 60 to both sides.
\frac{1}{2}x=80
Add 20 and 60 to get 80.
x=80\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=160
Multiply 80 and 2 to get 160.