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9x+20=5x-20
Multiply both sides of the equation by 45, the least common multiple of 5,9.
9x+20-5x=-20
Subtract 5x from both sides.
4x+20=-20
Combine 9x and -5x to get 4x.
4x=-20-20
Subtract 20 from both sides.
4x=-40
Subtract 20 from -20 to get -40.
x=\frac{-40}{4}
Divide both sides by 4.
x=-10
Divide -40 by 4 to get -10.