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5-\left(\frac{3}{4}-\frac{4}{4}\right)x=1
Convert 1 to fraction \frac{4}{4}.
5-\frac{3-4}{4}x=1
Since \frac{3}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
5-\left(-\frac{1}{4}x\right)=1
Subtract 4 from 3 to get -1.
5+\frac{1}{4}x=1
The opposite of -\frac{1}{4}x is \frac{1}{4}x.
\frac{1}{4}x=1-5
Subtract 5 from both sides.
\frac{1}{4}x=-4
Subtract 5 from 1 to get -4.
x=-4\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=-16
Multiply -4 and 4 to get -16.