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