Solve for x
x=1
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\frac{2}{15}x=\frac{14}{15}-\frac{4}{5}
Subtract \frac{4}{5} from both sides.
\frac{2}{15}x=\frac{14}{15}-\frac{12}{15}
Least common multiple of 15 and 5 is 15. Convert \frac{14}{15} and \frac{4}{5} to fractions with denominator 15.
\frac{2}{15}x=\frac{14-12}{15}
Since \frac{14}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{15}x=\frac{2}{15}
Subtract 12 from 14 to get 2.
x=\frac{2}{15}\times \frac{15}{2}
Multiply both sides by \frac{15}{2}, the reciprocal of \frac{2}{15}.
x=1
Cancel out \frac{2}{15} and its reciprocal \frac{15}{2}.
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