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3+4x\left(-1\right)=8x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x.
3-4x=8x
Multiply 4 and -1 to get -4.
3-4x-8x=0
Subtract 8x from both sides.
3-12x=0
Combine -4x and -8x to get -12x.
-12x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{-12}
Divide both sides by -12.
x=\frac{1}{4}
Reduce the fraction \frac{-3}{-12} to lowest terms by extracting and canceling out -3.