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18x+9=40x
Multiply both sides of the equation by 90, the least common multiple of 5,10,9.
18x+9-40x=0
Subtract 40x from both sides.
-22x+9=0
Combine 18x and -40x to get -22x.
-22x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{-22}
Divide both sides by -22.
x=\frac{9}{22}
Fraction \frac{-9}{-22} can be simplified to \frac{9}{22} by removing the negative sign from both the numerator and the denominator.