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
distributive property, multiplication property, division property, addition property, subtraction property, combine like terms

Answer 1

To solve the equation \( 5−3(x+3)=11−8x \), the following steps were followed:

1. **Distributive Property**: Apply the distributive property to \( -3(x+3) \):
\[
5 - 3x - 9 = 11 - 8x
\]

2. **Combine Like Terms**: Combine the constants on the left side:
\[
-3x - 4 = 11 - 8x
\]

3. **Add \( 8x \) to both sides**: Get all x terms on one side:
\[
5x - 4 = 11
\]

4. **Add 4 to both sides**: Isolate the term with \( x \):
\[
5x = 15
\]

5. **Division Property**: Divide both sides by 5 to solve for \( x \):
\[
x = 3
\]

So, the steps in order are:
- Distributive Property
- Combine Like Terms
- Addition Property
- Addition Property
- Division Property