Solve for x
x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286
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3\left(6-4x\right)=2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 2x,6x.
18-12x=2x
Use the distributive property to multiply 3 by 6-4x.
18-12x-2x=0
Subtract 2x from both sides.
18-14x=0
Combine -12x and -2x to get -14x.
-14x=-18
Subtract 18 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-18}{-14}
Divide both sides by -14.
x=\frac{9}{7}
Reduce the fraction \frac{-18}{-14} to lowest terms by extracting and canceling out -2.
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