Solve for x
x=3
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2x-6-3\left(2x-4\right)=2\left(5-3x\right)+2
Use the distributive property to multiply 2 by x-3.
2x-6-6x+12=2\left(5-3x\right)+2
Use the distributive property to multiply -3 by 2x-4.
-4x-6+12=2\left(5-3x\right)+2
Combine 2x and -6x to get -4x.
-4x+6=2\left(5-3x\right)+2
Add -6 and 12 to get 6.
-4x+6=10-6x+2
Use the distributive property to multiply 2 by 5-3x.
-4x+6=12-6x
Add 10 and 2 to get 12.
-4x+6+6x=12
Add 6x to both sides.
2x+6=12
Combine -4x and 6x to get 2x.
2x=12-6
Subtract 6 from both sides.
2x=6
Subtract 6 from 12 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.
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