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-5x+7-\left(-3x\right)-1=x
To find the opposite of -3x+1, find the opposite of each term.
-5x+7+3x-1=x
The opposite of -3x is 3x.
-2x+7-1=x
Combine -5x and 3x to get -2x.
-2x+6=x
Subtract 1 from 7 to get 6.
-2x+6-x=0
Subtract x from both sides.
-3x+6=0
Combine -2x and -x to get -3x.
-3x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{-3}
Divide both sides by -3.
x=2
Divide -6 by -3 to get 2.