Question

Identify the steps followed to solve the equation 5−3(x+3)=11−8x
(5 points)
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5−3x−9=11−8x
−3x−4=11−8x
5x−4=11
5x=15
x=3

Answer 1

To solve the equation \(5 - 3(x + 3) = 11 - 8x\), the steps followed are:

1. **Distribute the -3**:
\(5 - 3(x + 3) = 5 - 3x - 9\)

2. **Combine like terms**:
\(5 - 3x - 9 = -3x - 4\)

3. **Rewrite the equation**:
\(-3x - 4 = 11 - 8x\)

4. **Add \(8x\) to both sides**:
\(5x - 4 = 11\)

5. **Add 4 to both sides**:
\(5x = 15\)

6. **Divide by 5**:
\(x = 3\)

The correct order of the steps followed is:
- \(5−3(x+3)=11−8x\)
- \(5−3x−9=11−8x\)
- \(-3x−4=11−8x\)
- \(5x−4=11\)
- \(5x=15\)
- \(x=3\)