Solve for x
x=-7
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4\left(2x+3\right)=\left(3x-1\right)\times 2
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 4\left(3x-1\right), the least common multiple of 3x-1,4.
8x+12=\left(3x-1\right)\times 2
Use the distributive property to multiply 4 by 2x+3.
8x+12=6x-2
Use the distributive property to multiply 3x-1 by 2.
8x+12-6x=-2
Subtract 6x from both sides.
2x+12=-2
Combine 8x and -6x to get 2x.
2x=-2-12
Subtract 12 from both sides.
2x=-14
Subtract 12 from -2 to get -14.
x=\frac{-14}{2}
Divide both sides by 2.
x=-7
Divide -14 by 2 to get -7.
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