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x-1=\frac{\frac{5}{2}}{2}
Divide both sides by 2.
x-1=\frac{5}{2\times 2}
Express \frac{\frac{5}{2}}{2} as a single fraction.
x-1=\frac{5}{4}
Multiply 2 and 2 to get 4.
x=\frac{5}{4}+1
Add 1 to both sides.
x=\frac{5}{4}+\frac{4}{4}
Convert 1 to fraction \frac{4}{4}.
x=\frac{5+4}{4}
Since \frac{5}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.
x=\frac{9}{4}
Add 5 and 4 to get 9.