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\left(x+1\right)\times 4=x\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,x+1.
4x+4=x\times 3
Use the distributive property to multiply x+1 by 4.
4x+4-x\times 3=0
Subtract x\times 3 from both sides.
x+4=0
Combine 4x and -x\times 3 to get x.
x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.