Solving equations worksheets

Solving an equation means undoing whatever was done to x until it stands alone. These free printable worksheets ask a child to find the value of x, from one-step equations up to two-step ones.

Solving equations
Solving equations worksheet — One- and two-step, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

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.

Why this sheet works

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.