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-2+3x=4x\times 3
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x^{2}, the least common multiple of 12x^{2},4x,3x.
-2+3x=12x
Multiply 4 and 3 to get 12.
-2+3x-12x=0
Subtract 12x from both sides.
-2-9x=0
Combine 3x and -12x to get -9x.
-9x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{-9}
Divide both sides by -9.
x=-\frac{2}{9}
Fraction \frac{2}{-9} can be rewritten as -\frac{2}{9} by extracting the negative sign.