Solving equationsTo 50
Name: Date:
Solve each equation for x.
1x − 19 = 21
2x + 2 = 16
3x − 30 = 13
4x + 5 = 31
5x + 14 = 35
6x + 11 = 31
7x − 36 = 7
848 − x = 24
9x + 14 = 27
1033 − x = 2
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.
Kid stuck on one? You don’t just get the sheet.
Solving equations
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.
How this one works
One question from this sheet, worked through a step at a time.
x − 19 = 21
x − 19=21
x − 19=21
x=40
x − 19=21
x=40
x=40
- One thing was done to x: 19 taken away. So there is one thing to undo, and undoing it is the opposite operation.
- The 19 went on last, so it comes off first — and off BOTH sides, or the two halves stop being equal. 21 + 19 = 40.
- Check by putting it back: (40) − 19 = 21. It holds, so x = 40.