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2x+3-4x-\left(-9\right)=4
To find the opposite of 4x-9, find the opposite of each term.
2x+3-4x+9=4
The opposite of -9 is 9.
-2x+3+9=4
Combine 2x and -4x to get -2x.
-2x+12=4
Add 3 and 9 to get 12.
-2x=4-12
Subtract 12 from both sides.
-2x=-8
Subtract 12 from 4 to get -8.
x=\frac{-8}{-2}
Divide both sides by -2.
x=4
Divide -8 by -2 to get 4.