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5=\frac{11\times 3}{4}+x
Express 11\times \frac{3}{4} as a single fraction.
5=\frac{33}{4}+x
Multiply 11 and 3 to get 33.
\frac{33}{4}+x=5
Swap sides so that all variable terms are on the left hand side.
x=5-\frac{33}{4}
Subtract \frac{33}{4} from both sides.
x=\frac{20}{4}-\frac{33}{4}
Convert 5 to fraction \frac{20}{4}.
x=\frac{20-33}{4}
Since \frac{20}{4} and \frac{33}{4} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{13}{4}
Subtract 33 from 20 to get -13.