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3\left(3+x\right)=2\left(x+8\right)
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+8\right), the least common multiple of 8+x,3.
9+3x=2\left(x+8\right)
Use the distributive property to multiply 3 by 3+x.
9+3x=2x+16
Use the distributive property to multiply 2 by x+8.
9+3x-2x=16
Subtract 2x from both sides.
9+x=16
Combine 3x and -2x to get x.
x=16-9
Subtract 9 from both sides.
x=7
Subtract 9 from 16 to get 7.