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1=\left(x-3\right)\times 3
Variable x cannot be equal to any of the values -3,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+3\right), the least common multiple of x^{2}-9,x+3.
1=3x-9
Use the distributive property to multiply x-3 by 3.
3x-9=1
Swap sides so that all variable terms are on the left hand side.
3x=1+9
Add 9 to both sides.
3x=10
Add 1 and 9 to get 10.
x=\frac{10}{3}
Divide both sides by 3.