Solve simple rational and radical equations and identify extraneous solutions.
Solve a rational equation by clearing denominators and checking restrictions
Problem
Solve \((x~+~1)/3~=~5/6\).
Big Picture
What this problem is really about
Clear the numerical denominators with one operation applied to both sides of the equation. Keep the grouped numerator intact while the common multiple cancels each denominator, then solve the simpler linear equation exactly. A quick substitution into the original proportion checks both the distribution and the fraction arithmetic.
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