Solve for x
x=2
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\left(x-1\right)\times 3=x+1
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=x+1
Use the distributive property to multiply x-1 by 3.
3x-3-x=1
Subtract x from both sides.
2x-3=1
Combine 3x and -x to get 2x.
2x=1+3
Add 3 to both sides.
2x=4
Add 1 and 3 to get 4.
x=\frac{4}{2}
Divide both sides by 2.
x=2
Divide 4 by 2 to get 2.
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