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2x-9-\left(3+x\right)=0
Variable x cannot be equal to any of the values -3,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+3\right), the least common multiple of x^{2}+x-6,2-x.
2x-9-3-x=0
To find the opposite of 3+x, find the opposite of each term.
2x-12-x=0
Subtract 3 from -9 to get -12.
x-12=0
Combine 2x and -x to get x.
x=12
Add 12 to both sides. Anything plus zero gives itself.