Solve for x
x=-\frac{2}{15}\approx -0.133333333
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2\left(3x-2\right)=4x\times 9
Multiply both sides of the equation by 14, the least common multiple of 7,14.
6x-4=4x\times 9
Use the distributive property to multiply 2 by 3x-2.
6x-4=36x
Multiply 4 and 9 to get 36.
6x-4-36x=0
Subtract 36x from both sides.
-30x-4=0
Combine 6x and -36x to get -30x.
-30x=4
Add 4 to both sides. Anything plus zero gives itself.
x=\frac{4}{-30}
Divide both sides by -30.
x=-\frac{2}{15}
Reduce the fraction \frac{4}{-30} to lowest terms by extracting and canceling out 2.
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