Solve for x
x=-9
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6+6\left(x+3\right)\times \frac{1}{2}=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 6\left(x+3\right), the least common multiple of x+3,2,3.
6+3\left(x+3\right)=2\left(x+3\right)
Multiply 6 and \frac{1}{2} to get 3.
6+3x+9=2\left(x+3\right)
Use the distributive property to multiply 3 by x+3.
15+3x=2\left(x+3\right)
Add 6 and 9 to get 15.
15+3x=2x+6
Use the distributive property to multiply 2 by x+3.
15+3x-2x=6
Subtract 2x from both sides.
15+x=6
Combine 3x and -2x to get x.
x=6-15
Subtract 15 from both sides.
x=-9
Subtract 15 from 6 to get -9.
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