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8-\left(-2x\right)-5=4x+1
To find the opposite of -2x+5, find the opposite of each term.
8+2x-5=4x+1
The opposite of -2x is 2x.
3+2x=4x+1
Subtract 5 from 8 to get 3.
3+2x-4x=1
Subtract 4x from both sides.
3-2x=1
Combine 2x and -4x to get -2x.
-2x=1-3
Subtract 3 from both sides.
-2x=-2
Subtract 3 from 1 to get -2.
x=\frac{-2}{-2}
Divide both sides by -2.
x=1
Divide -2 by -2 to get 1.