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x+\frac{1}{4}=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
x=\frac{3}{2}-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
x=\frac{6}{4}-\frac{1}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{1}{4} to fractions with denominator 4.
x=\frac{6-1}{4}
Since \frac{6}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
x=\frac{5}{4}
Subtract 1 from 6 to get 5.