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2\left(2x-4\right)=x-2
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4x-8=x-2
Use the distributive property to multiply 2 by 2x-4.
4x-8-x=-2
Subtract x from both sides.
3x-8=-2
Combine 4x and -x to get 3x.
3x=-2+8
Add 8 to both sides.
3x=6
Add -2 and 8 to get 6.
x=\frac{6}{3}
Divide both sides by 3.
x=2
Divide 6 by 3 to get 2.