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3\times 4x=2\left(x+3\right)
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+3\right), the least common multiple of x+3,3.
12x=2\left(x+3\right)
Multiply 3 and 4 to get 12.
12x=2x+6
Use the distributive property to multiply 2 by x+3.
12x-2x=6
Subtract 2x from both sides.
10x=6
Combine 12x and -2x to get 10x.
x=\frac{6}{10}
Divide both sides by 10.
x=\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.