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5\times 24=-x\times 40
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,-5.
120=-x\times 40
Multiply 5 and 24 to get 120.
120=-40x
Multiply -1 and 40 to get -40.
-40x=120
Swap sides so that all variable terms are on the left hand side.
x=\frac{120}{-40}
Divide both sides by -40.
x=-3
Divide 120 by -40 to get -3.