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x=\frac{7}{8}-\frac{3}{4}
Subtract \frac{3}{4} from both sides.
x=\frac{7}{8}-\frac{6}{8}
Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{3}{4} to fractions with denominator 8.
x=\frac{7-6}{8}
Since \frac{7}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{8}
Subtract 6 from 7 to get 1.