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1-4\times 2=12x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4x,x.
1-8=12x
Multiply -4 and 2 to get -8.
-7=12x
Subtract 8 from 1 to get -7.
12x=-7
Swap sides so that all variable terms are on the left hand side.
x=\frac{-7}{12}
Divide both sides by 12.
x=-\frac{7}{12}
Fraction \frac{-7}{12} can be rewritten as -\frac{7}{12} by extracting the negative sign.