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\frac{3}{2}x-3=3
Swap sides so that all variable terms are on the left hand side.
\frac{3}{2}x=3+3
Add 3 to both sides.
\frac{3}{2}x=6
Add 3 and 3 to get 6.
x=6\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{6\times 2}{3}
Express 6\times \frac{2}{3} as a single fraction.
x=\frac{12}{3}
Multiply 6 and 2 to get 12.
x=4
Divide 12 by 3 to get 4.