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5x-9=3^{2}-8
Combine 3x and 2x to get 5x.
5x-9=9-8
Calculate 3 to the power of 2 and get 9.
5x-9=1
Subtract 8 from 9 to get 1.
5x=1+9
Add 9 to both sides.
5x=10
Add 1 and 9 to get 10.
x=\frac{10}{5}
Divide both sides by 5.
x=2
Divide 10 by 5 to get 2.