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\frac{1}{2}x-6-\frac{3}{4}x=0
Subtract \frac{3}{4}x from both sides.
-\frac{1}{4}x-6=0
Combine \frac{1}{2}x and -\frac{3}{4}x to get -\frac{1}{4}x.
-\frac{1}{4}x=6
Add 6 to both sides. Anything plus zero gives itself.
x=6\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}.
x=-24
Multiply 6 and -4 to get -24.