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3x\times 5=\left(x+2\right)\times 2
Variable x cannot be equal to any of the values -2,0 since division by zero is not defined. Multiply both sides of the equation by 9x\left(x+2\right), the least common multiple of 3x+6,9x.
15x=\left(x+2\right)\times 2
Multiply 3 and 5 to get 15.
15x=2x+4
Use the distributive property to multiply x+2 by 2.
15x-2x=4
Subtract 2x from both sides.
13x=4
Combine 15x and -2x to get 13x.
x=\frac{4}{13}
Divide both sides by 13.