Solve linear equations and inequalities in one variable, including literal linear equations.
Solve a linear equation with variables on both sides and classify the result
Problem
Solve \(5x~+~2~=~2x~+~17\), then classify the result as one solution, no solution, or infinitely many solutions.
Big Picture
What this problem is really about
Having the variable on both sides does not determine the equation’s classification by itself. We’ll collect variable terms on one side and constants on the other using balanced operations, then simplify as far as possible. A specific variable value, a true identity, or a false constant statement will tell us which classification applies, and substitution can verify a specific value.
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.
