Equations
Solve each equation for x.
Free · Grade 6–7 · One- and two-step
Working on solving equations? Print this sheet as it is, or change the level and questions first.

The answer key prints on a separate page.
The sheets step through the same ladder a curriculum uses. One-step addition and subtraction come first — x + 5 = 12 — where a single inverse operation frees x. One-step multiplication and division follow, including the coefficient form 3x = 21 and the division form x ÷ 4 = 3. Two-step equations like 3x + 5 = 20 come last, where a child undoes the addition first and the multiplication second — the reverse of the order of operations.
Every equation is built backward from a whole-number solution, so x is always a positive integer a child can check by substituting it back in. That check — put the answer where x was and see if the two sides match — is the habit these pages are really training, and it is why the answer key doubles as a worked verification.