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x\times 6=x+5
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\left(x+1\right).
x\times 6-x=5
Subtract x from both sides.
5x=5
Combine x\times 6 and -x to get 5x.
x=\frac{5}{5}
Divide both sides by 5.
x=1
Divide 5 by 5 to get 1.