Solve for x
x=15
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-\frac{7}{4}+\frac{1}{4}x=2
Swap sides so that all variable terms are on the left hand side.
\frac{1}{4}x=2+\frac{7}{4}
Add \frac{7}{4} to both sides.
\frac{1}{4}x=\frac{8}{4}+\frac{7}{4}
Convert 2 to fraction \frac{8}{4}.
\frac{1}{4}x=\frac{8+7}{4}
Since \frac{8}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.
\frac{1}{4}x=\frac{15}{4}
Add 8 and 7 to get 15.
x=\frac{15}{4}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=15
Cancel out 4 and 4.
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