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-x=\frac{15}{32}-\frac{7}{16}
Subtract \frac{7}{16} from both sides.
-x=\frac{15}{32}-\frac{14}{32}
Least common multiple of 32 and 16 is 32. Convert \frac{15}{32} and \frac{7}{16} to fractions with denominator 32.
-x=\frac{15-14}{32}
Since \frac{15}{32} and \frac{14}{32} have the same denominator, subtract them by subtracting their numerators.
-x=\frac{1}{32}
Subtract 14 from 15 to get 1.
x=-\frac{1}{32}
Multiply both sides by -1.