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x-6+x=x\times 4
Variable x cannot be equal to any of the values 0,6 since division by zero is not defined. Multiply both sides of the equation by x\left(x-6\right), the least common multiple of x,x-6.
2x-6=x\times 4
Combine x and x to get 2x.
2x-6-x\times 4=0
Subtract x\times 4 from both sides.
-2x-6=0
Combine 2x and -x\times 4 to get -2x.
-2x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{-2}
Divide both sides by -2.
x=-3
Divide 6 by -2 to get -3.