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\left(x+1\right)\times 2=5
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^{2}-1.
2x+2=5
Use the distributive property to multiply x+1 by 2.
2x=5-2
Subtract 2 from both sides.
2x=3
Subtract 2 from 5 to get 3.
x=\frac{3}{2}
Divide both sides by 2.