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5x+9=2x
Multiply both sides of the equation by 10, the least common multiple of 10,5.
5x+9-2x=0
Subtract 2x from both sides.
3x+9=0
Combine 5x and -2x to get 3x.
3x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{3}
Divide both sides by 3.
x=-3
Divide -9 by 3 to get -3.