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-6-x=4x-12-7\left(x-4\right)
Use the distributive property to multiply 4 by x-3.
-6-x=4x-12-7x+28
Use the distributive property to multiply -7 by x-4.
-6-x=-3x-12+28
Combine 4x and -7x to get -3x.
-6-x=-3x+16
Add -12 and 28 to get 16.
-6-x+3x=16
Add 3x to both sides.
-6+2x=16
Combine -x and 3x to get 2x.
2x=16+6
Add 6 to both sides.
2x=22
Add 16 and 6 to get 22.
x=\frac{22}{2}
Divide both sides by 2.
x=11
Divide 22 by 2 to get 11.