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x\times 2=\left(x+1\right)\times 3
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x+1,x.
x\times 2=3x+3
Use the distributive property to multiply x+1 by 3.
x\times 2-3x=3
Subtract 3x from both sides.
-x=3
Combine x\times 2 and -3x to get -x.
x=-3
Multiply both sides by -1.