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3x-12-2\left(3x-6\right)=2x-\left(7x-1\right)
Use the distributive property to multiply 3 by x-4.
3x-12-6x+12=2x-\left(7x-1\right)
Use the distributive property to multiply -2 by 3x-6.
-3x-12+12=2x-\left(7x-1\right)
Combine 3x and -6x to get -3x.
-3x=2x-\left(7x-1\right)
Add -12 and 12 to get 0.
-3x=2x-7x-\left(-1\right)
To find the opposite of 7x-1, find the opposite of each term.
-3x=2x-7x+1
The opposite of -1 is 1.
-3x=-5x+1
Combine 2x and -7x to get -5x.
-3x+5x=1
Add 5x to both sides.
2x=1
Combine -3x and 5x to get 2x.
x=\frac{1}{2}
Divide both sides by 2.