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x+5=9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2x,2.
x+5-9x=0
Subtract 9x from both sides.
-8x+5=0
Combine x and -9x to get -8x.
-8x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-8}
Divide both sides by -8.
x=\frac{5}{8}
Fraction \frac{-5}{-8} can be simplified to \frac{5}{8} by removing the negative sign from both the numerator and the denominator.