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\left(x+1\right)\times 3=x\times 2
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,x+1.
3x+3=x\times 2
Use the distributive property to multiply x+1 by 3.
3x+3-x\times 2=0
Subtract x\times 2 from both sides.
x+3=0
Combine 3x and -x\times 2 to get x.
x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.