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Multiply both sides of the equation by $x-5$
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$x+1=x-5$
Learn how to solve equations problems step by step online. Find the roots of (x+1)/(x-5)=1. Multiply both sides of the equation by x-5. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values -5 and -1. Cancel like terms x and -x.