Grade 6 Equations: Two-Step with Subtraction

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Solve: 7x − 1 = 76

   1. Add 1 to both sides: 7x = 76 + 1 = 77.
   2. Divide both sides by 7: x = 77 ÷ 7 = 11.
   3. Check: 7 × 11 − 1 = 76 ✓ So x = 11.

   Answer: 11

2. Example 2

   Solve: 40 = 6m − 14

   1. Flip the sides so m is on the left: 6m − 14 = 40.
   2. Add 14 to both sides: 6m = 40 + 14 = 54.
   3. Divide both sides by 6: m = 54 ÷ 6 = 9.
   4. Check: 6 × 9 − 14 = 40 ✓ So m = 9.

   Answer: 9

3. Example 3

   Solve: 9m − 9 = 36

   1. Add 9 to both sides: 9m = 36 + 9 = 45.
   2. Divide both sides by 9: m = 45 ÷ 9 = 5.
   3. Check: 9 × 5 − 9 = 36 ✓ So m = 5.

   Answer: 5