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3 – 5(x + 1) = 21
**DO NOT COMBINE THE 3 & - 5! ALWAYS DISTRIBUTE FIRST!!!**

3 – 5(x + 1) = 21
**Don’t forget, the negative goes with the 5**

3 – 5(x + 1) = 21
3 – 5(x + 1) = 21
– 5x

Distribute the -5
3 – 5(x + 1) = 21
– 5x – 5

Distribute the -5
3 – 5(x + 1) = 21
3 – 5x – 5 = 21

Distribute the -5
3 – 5(x + 1) = 21
3 – 5x – 5 = 21
– 5x – 2 = 21

Combine Like Terms
3 – 5(x + 1) = 21
3 – 5x – 5 = 21
– 5x – 2 = 21
+2 +2
– 5x = 23

Do the inverse of -2
3 – 5(x + 1) = 21
3 – 5x – 5 = 21
– 5x – 2 = 21
+2 +2
– 5x = 23
–5 –5

Do the inverse of times -5
3 – 5(x + 1) = 21
3 – 5x – 5 = 21
– 5x – 2 = 21
+2 +2
– 5x = 23
–5 –5
x = 23
–5

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Sol4

  • 1. 3 – 5(x + 1) = 21
  • 2. **DO NOT COMBINE THE 3 & - 5! ALWAYS DISTRIBUTE FIRST!!!** 3 – 5(x + 1) = 21
  • 3. **Don’t forget, the negative goes with the 5** 3 – 5(x + 1) = 21
  • 4. 3 – 5(x + 1) = 21 – 5x Distribute the -5
  • 5. 3 – 5(x + 1) = 21 – 5x – 5 Distribute the -5
  • 6. 3 – 5(x + 1) = 21 3 – 5x – 5 = 21 Distribute the -5
  • 7. 3 – 5(x + 1) = 21 3 – 5x – 5 = 21 – 5x – 2 = 21 Combine Like Terms
  • 8. 3 – 5(x + 1) = 21 3 – 5x – 5 = 21 – 5x – 2 = 21 +2 +2 – 5x = 23 Do the inverse of -2
  • 9. 3 – 5(x + 1) = 21 3 – 5x – 5 = 21 – 5x – 2 = 21 +2 +2 – 5x = 23 –5 –5 Do the inverse of times -5
  • 10. 3 – 5(x + 1) = 21 3 – 5x – 5 = 21 – 5x – 2 = 21 +2 +2 – 5x = 23 –5 –5 x = 23 –5