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x+4=\frac{7}{8}\times 10
Multiply both sides by 10.
x+4=\frac{7\times 10}{8}
Express \frac{7}{8}\times 10 as a single fraction.
x+4=\frac{70}{8}
Multiply 7 and 10 to get 70.
x+4=\frac{35}{4}
Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.
x=\frac{35}{4}-4
Subtract 4 from both sides.
x=\frac{35}{4}-\frac{16}{4}
Convert 4 to fraction \frac{16}{4}.
x=\frac{35-16}{4}
Since \frac{35}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.
x=\frac{19}{4}
Subtract 16 from 35 to get 19.