Solve for x
x=6
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3x-6=8\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
3x-6=\frac{8\times 3}{2}
Express 8\times \frac{3}{2} as a single fraction.
3x-6=\frac{24}{2}
Multiply 8 and 3 to get 24.
3x-6=12
Divide 24 by 2 to get 12.
3x=12+6
Add 6 to both sides.
3x=18
Add 12 and 6 to get 18.
x=\frac{18}{3}
Divide both sides by 3.
x=6
Divide 18 by 3 to get 6.
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