Solve for x
x=-13
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\left(x+3\right)\times 3=\left(x-2\right)\times 2
Variable x cannot be equal to any of the values -3,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+3\right), the least common multiple of x-2,x+3.
3x+9=\left(x-2\right)\times 2
Use the distributive property to multiply x+3 by 3.
3x+9=2x-4
Use the distributive property to multiply x-2 by 2.
3x+9-2x=-4
Subtract 2x from both sides.
x+9=-4
Combine 3x and -2x to get x.
x=-4-9
Subtract 9 from both sides.
x=-13
Subtract 9 from -4 to get -13.
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