Let’s solve each equation one by one. We’ll isolate the variable
x on one side of the equation by doing the same thing to both sides (like adding, subtracting, multiplying, or dividing).
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1. 3x - 18 = 0
Add 18 to both sides:
→ 3x = 18
Divide both sides by 3:
→ x = 6
✔ Check: 3(6) - 18 = 18 - 18 = 0 → Correct!
---
2. 4x - 12 = 0
Add 12 to both sides:
→ 4x = 12
Divide both sides by 4:
→ x = 3
✔ Check: 4(3) - 12 = 12 - 12 = 0 → Correct!
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3. 5x + 20 = -14
Subtract 20 from both sides:
→ 5x = -34
Divide both sides by 5:
→ x = -34/5 = -6.8
✔ Check: 5(-6.8) + 20 = -34 + 20 = -14 → Correct!
*(Note: You can leave it as a fraction: x = -34/5)*
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4. 7x - 6 = -20
Add 6 to both sides:
→ 7x = -14
Divide both sides by 7:
→ x = -2
✔ Check: 7(-2) - 6 = -14 - 6 = -20 → Correct!
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5. 6x = -24
Divide both sides by 6:
→ x = -4
✔ Check: 6(-4) = -24 → Correct!
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Now let’s do the right column:
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6. 3x - 12 = 0
Add 12 to both sides:
→ 3x = 12
Divide by 3:
→ x = 4
✔ Check: 3(4) - 12 = 12 - 12 = 0 → Correct!
---
7. 8x - 12 = 12
Add 12 to both sides:
→ 8x = 24
Divide by 8:
→ x = 3
✔ Check: 8(3) - 12 = 24 - 12 = 12 → Correct!
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Wait — there are two problems labeled “3” and two labeled “4” and “5”. Let’s check the original image again.
Looking at the layout:
Left column:
1. 3x - 18 = 0
2. 4x - 12 = 0
3. 5x + 20 = -14
4. 7x - 6 = -20
5. 6x = -24
Right column:
6. 3x - 12 = 0
7. 8x - 12 = 12
Then it says “3.” again? That must be a typo — probably meant to be #8? But in the image, after 7, it says:
“3. 9x + 20 = -7” ← This is likely misnumbered — should be #8?
Then “4. 2x - 6 = -20” ← Should be #9?
Then “5. 5x - 4 = -24” ← Should be #10?
But since the user uploaded this worksheet, we’ll solve them in order as written — even if numbering is off.
So continuing with the next ones (even though they’re labeled 3, 4, 5 again):
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Next problem (labeled 3): 9x + 20 = -7
Subtract 20 from both sides:
→ 9x = -27
Divide by 9:
→ x = -3
✔ Check: 9(-3) + 20 = -27 + 20 = -7 → Correct!
---
Next problem (labeled 4): 2x - 6 = -20
Add 6 to both sides:
→ 2x = -14
Divide by 2:
→ x = -7
✔ Check: 2(-7) - 6 = -14 - 6 = -20 → Correct!
---
Last problem (labeled 5): 5x - 4 = -24
Add 4 to both sides:
→ 5x = -20
Divide by 5:
→ x = -4
✔ Check: 5(-4) - 4 = -20 - 4 = -24 → Correct!
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Final Answer:
1. x = 6
2. x = 3
3. x = -34/5 or -6.8
4. x = -2
5. x = -4
6. x = 4
7. x = 3
8. x = -3 *(was labeled 3 again)*
9. x = -7 *(was labeled 4 again)*
10. x = -4 *(was labeled 5 again)*
Parent Tip: Review the logic above to help your child master the concept of algebra 1 worksheet 3 6 answers.
