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3-x=\frac{9}{6}
Divide 9 by 3 to get 3.
3-x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.
-x=\frac{3}{2}-3
Subtract 3 from both sides.
-x=\frac{3}{2}-\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
-x=\frac{3-6}{2}
Since \frac{3}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
-x=-\frac{3}{2}
Subtract 6 from 3 to get -3.
x=\frac{3}{2}
Multiply both sides by -1.