Solve for x
x=-12
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3\left(x+2\right)=2\left(2x+9\right)
Variable x cannot be equal to -\frac{9}{2} since division by zero is not defined. Multiply both sides of the equation by 3\left(2x+9\right), the least common multiple of 2x+9,3.
3x+6=2\left(2x+9\right)
Use the distributive property to multiply 3 by x+2.
3x+6=4x+18
Use the distributive property to multiply 2 by 2x+9.
3x+6-4x=18
Subtract 4x from both sides.
-x+6=18
Combine 3x and -4x to get -x.
-x=18-6
Subtract 6 from both sides.
-x=12
Subtract 6 from 18 to get 12.
x=-12
Multiply both sides by -1.
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