Explain equation-solving steps as logical consequences of equality and justify solution methods.
Clear denominators in an equation
Problem
Clear the fraction in \(x/3~+~2~=~5\), then solve for \(x\). State the multiplier, resulting equation, and solution.
Big Picture
What this problem is really about
Clearing a denominator is a whole-equation operation. We’ll use a common-denominator multiplier on every term on both sides, so the fractional term cancels while equality is preserved. After simplifying the new equation, ordinary inverse operations isolate the variable, and substitution into the original fractional form checks that no term was skipped.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
