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3\left(3x+9\right)=2\left(5x+9\right)
Variable x cannot be equal to -\frac{9}{5} since division by zero is not defined. Multiply both sides of the equation by 3\left(5x+9\right), the least common multiple of 5x+9,3.
9x+27=2\left(5x+9\right)
Use the distributive property to multiply 3 by 3x+9.
9x+27=10x+18
Use the distributive property to multiply 2 by 5x+9.
9x+27-10x=18
Subtract 10x from both sides.
-x+27=18
Combine 9x and -10x to get -x.
-x=18-27
Subtract 27 from both sides.
-x=-9
Subtract 27 from 18 to get -9.
x=9
Multiply both sides by -1.