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\frac{3}{4}x+3-\frac{1}{4}x=0
Subtract \frac{1}{4}x from both sides.
\frac{1}{2}x+3=0
Combine \frac{3}{4}x and -\frac{1}{4}x to get \frac{1}{2}x.
\frac{1}{2}x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=-3\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=-6
Multiply -3 and 2 to get -6.