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2-3\times 4=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3x,x,3.
2-12=5x
Multiply -3 and 4 to get -12.
-10=5x
Subtract 12 from 2 to get -10.
5x=-10
Swap sides so that all variable terms are on the left hand side.
x=\frac{-10}{5}
Divide both sides by 5.
x=-2
Divide -10 by 5 to get -2.