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x+2=3\left(x-3\right)
Multiply both sides of the equation by 9, the least common multiple of 9,3.
x+2=3x-9
Use the distributive property to multiply 3 by x-3.
x+2-3x=-9
Subtract 3x from both sides.
-2x+2=-9
Combine x and -3x to get -2x.
-2x=-9-2
Subtract 2 from both sides.
-2x=-11
Subtract 2 from -9 to get -11.
x=\frac{-11}{-2}
Divide both sides by -2.
x=\frac{11}{2}
Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.