Let’s solve each equation step by step. These are all two-step equations — meaning we’ll do two operations to isolate x.
We’ll go row by row, left to right.
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First Row:
1.
3x + 4 = 7
Subtract 4 from both sides:
→ 3x = 3
Divide by 3:
→ x = 1
✔
2.
5x - 4 = 6
Add 4 to both sides:
→ 5x = 10
Divide by 5:
→ x = 2
✔
3.
7x + 8 = 29
Subtract 8:
→ 7x = 21
Divide by 7:
→ x = 3
✔
---
Second Row:
4.
9x - 3 = 33
Add 3:
→ 9x = 36
Divide by 9:
→ x = 4
✔
5.
2x + 6 = 16
Subtract 6:
→ 2x = 10
Divide by 2:
→ x = 5
✔
6.
4x - 6 = 18
Add 6:
→ 4x = 24
Divide by 4:
→ x = 6
✔
---
Third Row:
7.
6x + 8 = 50
Subtract 8:
→ 6x = 42
Divide by 6:
→ x = 7
✔
8.
8x - 5 = 59
Add 5:
→ 8x = 64
Divide by 8:
→ x = 8
✔
9.
3x + 9 = 36
Subtract 9:
→ 3x = 27
Divide by 3:
→ x = 9
✔
---
Fourth Row:
10.
5x - 4 = 46
Add 4:
→ 5x = 50
Divide by 5:
→ x = 10
✔
11.
7x + 2 = 79
Subtract 2:
→ 7x = 77
Divide by 7:
→ x = 11
✔
12.
5x - 3 = 57
Add 3:
→ 5x = 60
Divide by 5:
→ x = 12
✔
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All solutions check out! The pattern is clear: as you move across and down the grid, x increases by 1 each time (from 1 to 12).
Final Answer:
The solutions for x in order (left to right, top to bottom) are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Parent Tip: Review the logic above to help your child master the concept of 2 step equation worksheet.