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3x=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.
3x=2x+6
Use the distributive property to multiply 2 by x+3.
3x-2x=6
Subtract 2x from both sides.
x=6
Combine 3x and -2x to get x.