Solve for x
x=0
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2\left(-2x+2\right)=-\left(x-4\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-4\right), the least common multiple of x-4,2.
-4x+4=-\left(x-4\right)
Use the distributive property to multiply 2 by -2x+2.
-4x+4=-x+4
To find the opposite of x-4, find the opposite of each term.
-4x+4+x=4
Add x to both sides.
-3x+4=4
Combine -4x and x to get -3x.
-3x=4-4
Subtract 4 from both sides.
-3x=0
Subtract 4 from 4 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.
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