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\frac{5}{8}\times 24=x
Multiply both sides by 24.
\frac{5\times 24}{8}=x
Express \frac{5}{8}\times 24 as a single fraction.
\frac{120}{8}=x
Multiply 5 and 24 to get 120.
15=x
Divide 120 by 8 to get 15.
x=15
Swap sides so that all variable terms are on the left hand side.