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x\times 2=x-7
Variable x cannot be equal to any of the values 0,7 since division by zero is not defined. Multiply both sides of the equation by x\left(x-7\right), the least common multiple of x-7,x.
x\times 2-x=-7
Subtract x from both sides.
x=-7
Combine x\times 2 and -x to get x.