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-3\left(x+1\right)=2\left(x-9\right)
Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-9\right), the least common multiple of 9-x,3.
-3x-3=2\left(x-9\right)
Use the distributive property to multiply -3 by x+1.
-3x-3=2x-18
Use the distributive property to multiply 2 by x-9.
-3x-3-2x=-18
Subtract 2x from both sides.
-5x-3=-18
Combine -3x and -2x to get -5x.
-5x=-18+3
Add 3 to both sides.
-5x=-15
Add -18 and 3 to get -15.
x=\frac{-15}{-5}
Divide both sides by -5.
x=3
Divide -15 by -5 to get 3.