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2-x=\frac{9}{4}
Divide both sides by 4.
-x=\frac{9}{4}-2
Subtract 2 from both sides.
-x=\frac{9}{4}-\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
-x=\frac{9-8}{4}
Since \frac{9}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.
-x=\frac{1}{4}
Subtract 8 from 9 to get 1.
x=-\frac{1}{4}
Multiply both sides by -1.