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3x-3+6x=12
Add 6x to both sides.
9x-3=12
Combine 3x and 6x to get 9x.
9x=12+3
Add 3 to both sides.
9x=15
Add 12 and 3 to get 15.
x=\frac{15}{9}
Divide both sides by 9.
x=\frac{5}{3}
Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.