Solve for x
x=-10
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\left(x-2\right)\times 2=\left(x+2\right)\times 3
Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x+2,x-2.
2x-4=\left(x+2\right)\times 3
Use the distributive property to multiply x-2 by 2.
2x-4=3x+6
Use the distributive property to multiply x+2 by 3.
2x-4-3x=6
Subtract 3x from both sides.
-x-4=6
Combine 2x and -3x to get -x.
-x=6+4
Add 4 to both sides.
-x=10
Add 6 and 4 to get 10.
x=-10
Multiply both sides by -1.
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Limits
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