Solve for x
x=-5
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\left(x+1\right)\times 3-\left(x-1\right)\times 2=0
Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+1\right), the least common multiple of x-1,x+1.
3x+3-\left(x-1\right)\times 2=0
Use the distributive property to multiply x+1 by 3.
3x+3-\left(2x-2\right)=0
Use the distributive property to multiply x-1 by 2.
3x+3-2x+2=0
To find the opposite of 2x-2, find the opposite of each term.
x+3+2=0
Combine 3x and -2x to get x.
x+5=0
Add 3 and 2 to get 5.
x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
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