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29-17-\left(-2x\right)=8x+12-3x
To find the opposite of 17-2x, find the opposite of each term.
29-17+2x=8x+12-3x
The opposite of -2x is 2x.
12+2x=8x+12-3x
Subtract 17 from 29 to get 12.
12+2x=5x+12
Combine 8x and -3x to get 5x.
12+2x-5x=12
Subtract 5x from both sides.
12-3x=12
Combine 2x and -5x to get -3x.
-3x=12-12
Subtract 12 from both sides.
-3x=0
Subtract 12 from 12 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.