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8x-3x-\left(-9\right)=54
To find the opposite of 3x-9, find the opposite of each term.
8x-3x+9=54
The opposite of -9 is 9.
5x+9=54
Combine 8x and -3x to get 5x.
5x=54-9
Subtract 9 from both sides.
5x=45
Subtract 9 from 54 to get 45.
x=\frac{45}{5}
Divide both sides by 5.
x=9
Divide 45 by 5 to get 9.