Solve for x
x=0
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-2x+2-\left(2x-3\right)=5-x
Use the distributive property to multiply -2 by x-1.
-2x+2-2x-\left(-3\right)=5-x
To find the opposite of 2x-3, find the opposite of each term.
-2x+2-2x+3=5-x
The opposite of -3 is 3.
-4x+2+3=5-x
Combine -2x and -2x to get -4x.
-4x+5=5-x
Add 2 and 3 to get 5.
-4x+5+x=5
Add x to both sides.
-3x+5=5
Combine -4x and x to get -3x.
-3x=5-5
Subtract 5 from both sides.
-3x=0
Subtract 5 from 5 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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