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3x-12+6x=3\left(2-x\right)+6
Use the distributive property to multiply 3 by x-4.
9x-12=3\left(2-x\right)+6
Combine 3x and 6x to get 9x.
9x-12=6-3x+6
Use the distributive property to multiply 3 by 2-x.
9x-12=12-3x
Add 6 and 6 to get 12.
9x-12+3x=12
Add 3x to both sides.
12x-12=12
Combine 9x and 3x to get 12x.
12x=12+12
Add 12 to both sides.
12x=24
Add 12 and 12 to get 24.
x=\frac{24}{12}
Divide both sides by 12.
x=2
Divide 24 by 12 to get 2.