Solve for x
x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333
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3\left(4x-2\right)=2\left(3x+4\right)
Variable x cannot be equal to -\frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by 3\left(3x+4\right), the least common multiple of 3x+4,3.
12x-6=2\left(3x+4\right)
Use the distributive property to multiply 3 by 4x-2.
12x-6=6x+8
Use the distributive property to multiply 2 by 3x+4.
12x-6-6x=8
Subtract 6x from both sides.
6x-6=8
Combine 12x and -6x to get 6x.
6x=8+6
Add 6 to both sides.
6x=14
Add 8 and 6 to get 14.
x=\frac{14}{6}
Divide both sides by 6.
x=\frac{7}{3}
Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.
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