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x-2\times 9=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 3x+9,3.
x-18=2\left(x+3\right)
Multiply 2 and 9 to get 18.
x-18=2x+6
Use the distributive property to multiply 2 by x+3.
x-18-2x=6
Subtract 2x from both sides.
-x-18=6
Combine x and -2x to get -x.
-x=6+18
Add 18 to both sides.
-x=24
Add 6 and 18 to get 24.
x=-24
Multiply both sides by -1.