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\frac{3}{4}x-1=0
Swap sides so that all variable terms are on the left hand side.
\frac{3}{4}x=1
Add 1 to both sides. Anything plus zero gives itself.
x=1\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{4}{3}
Multiply 1 and \frac{4}{3} to get \frac{4}{3}.