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15=5+\left(1-\frac{7}{8}\right)x
Reduce the fraction \frac{2100}{2400} to lowest terms by extracting and canceling out 300.
15=5+\left(\frac{8}{8}-\frac{7}{8}\right)x
Convert 1 to fraction \frac{8}{8}.
15=5+\frac{8-7}{8}x
Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.
15=5+\frac{1}{8}x
Subtract 7 from 8 to get 1.
5+\frac{1}{8}x=15
Swap sides so that all variable terms are on the left hand side.
\frac{1}{8}x=15-5
Subtract 5 from both sides.
\frac{1}{8}x=10
Subtract 5 from 15 to get 10.
x=10\times 8
Multiply both sides by 8, the reciprocal of \frac{1}{8}.
x=80
Multiply 10 and 8 to get 80.