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3\times 9+12x\left(-\frac{5}{6}\right)=-13
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 4x,6,12x.
27+12x\left(-\frac{5}{6}\right)=-13
Multiply 3 and 9 to get 27.
27-10x=-13
Multiply 12 and -\frac{5}{6} to get -10.
-10x=-13-27
Subtract 27 from both sides.
-10x=-40
Subtract 27 from -13 to get -40.
x=\frac{-40}{-10}
Divide both sides by -10.
x=4
Divide -40 by -10 to get 4.