Khan Academy
Equations with Variables on Both Sides
Collect variable terms on one side, then solve.
Watch on YouTubeMove variable terms to one side, then solve — and spot special cases.
Read this first — it covers the idea in plain language with a worked example.
Solve 2x + 3 = 5x - 6.
Special cases
If the variables cancel and you get a false statement (3 = 5), there is no solution. If you get a true statement (4 = 4), there are infinitely many solutions.
Watch the main video, then check the second take if you want another explanation.
Collect variable terms on one side, then solve.
Watch on YouTubeAnother worked example: 20 − 7x = 6x − 6.
Watch on YouTubeTry a worksheet or work through some problems before the quiz.
A couple of questions to make sure this topic stuck. Retake as many times as you want.
Variables on Both Sides
Solve: 4x - 1 = 2x + 7.