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1-3x-\left(-9\right)=5x-4x+2
To find the opposite of 3x-9, find the opposite of each term.
1-3x+9=5x-4x+2
The opposite of -9 is 9.
10-3x=5x-4x+2
Add 1 and 9 to get 10.
10-3x=x+2
Combine 5x and -4x to get x.
10-3x-x=2
Subtract x from both sides.
10-4x=2
Combine -3x and -x to get -4x.
-4x=2-10
Subtract 10 from both sides.
-4x=-8
Subtract 10 from 2 to get -8.
x=\frac{-8}{-4}
Divide both sides by -4.
x=2
Divide -8 by -4 to get 2.