Solve linear equations with variables on both sides and interpret special cases.
Collect variable terms on one side
Problem
Solve \(5x~+~2~=~2x~+~14\).
Big Picture
What this problem is really about
Because x appears on both sides, first collect the variable terms without breaking the balance. Subtract the smaller variable term from both sides so one side becomes constant-only. Then move the remaining constant, divide by the resulting coefficient, and verify that both original expressions evaluate equally.
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.
