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x-4x+8=2\left(x-1\right)
Use the distributive property to multiply -4 by x-2.
-3x+8=2\left(x-1\right)
Combine x and -4x to get -3x.
-3x+8=2x-2
Use the distributive property to multiply 2 by x-1.
-3x+8-2x=-2
Subtract 2x from both sides.
-5x+8=-2
Combine -3x and -2x to get -5x.
-5x=-2-8
Subtract 8 from both sides.
-5x=-10
Subtract 8 from -2 to get -10.
x=\frac{-10}{-5}
Divide both sides by -5.
x=2
Divide -10 by -5 to get 2.