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x\times 3=\left(x+1\right)\times 4
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 3=4x+4
Use the distributive property to multiply x+1 by 4.
x\times 3-4x=4
Subtract 4x from both sides.
-x=4
Combine x\times 3 and -4x to get -x.
x=-4
Multiply both sides by -1.