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3x-6=4\left(3-x\right)
Use the distributive property to multiply 3 by x-2.
3x-6=12-4x
Use the distributive property to multiply 4 by 3-x.
3x-6+4x=12
Add 4x to both sides.
7x-6=12
Combine 3x and 4x to get 7x.
7x=12+6
Add 6 to both sides.
7x=18
Add 12 and 6 to get 18.
x=\frac{18}{7}
Divide both sides by 7.