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x-5-10=0
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by \left(x-5\right)^{2}, the least common multiple of x-5,x^{2}-10x+25.
x-15=0
Subtract 10 from -5 to get -15.
x=15
Add 15 to both sides. Anything plus zero gives itself.