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2x-2=5x-2
Use the distributive property to multiply 2 by x-1.
2x-2-5x=-2
Subtract 5x from both sides.
-3x-2=-2
Combine 2x and -5x to get -3x.
-3x=-2+2
Add 2 to both sides.
-3x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -3 is not equal to 0, x must be equal to 0.