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x+\frac{5}{4}-\frac{3}{4}x=0
Subtract \frac{3}{4}x from both sides.
\frac{1}{4}x+\frac{5}{4}=0
Combine x and -\frac{3}{4}x to get \frac{1}{4}x.
\frac{1}{4}x=-\frac{5}{4}
Subtract \frac{5}{4} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{5}{4}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=-5
Cancel out 4 and 4.