3(x+5) 
2
 −3(x+5)+6 simplified and in standard form 

Let's simplify the given expression:

\[
3(x + 5) - 3(x + 5) + 6
\]

### Step-by-step solution:

1. **Distribute**:
   \[
   3(x + 5) = 3x + 15
   \]
   \[
   -3(x + 5) = -3x - 15
   \]

2. **Substitute back**:
   \[
   3x + 15 - 3x - 15 + 6
   \]

3. **Combine like terms**:
   \[
   (3x - 3x) + (15 - 15) + 6 = 0 + 0 + 6 = 6
   \]

### Final simplified form: 
\[
6
\]

This is the simplified and standard form.

Do you have any questions, or would you like further details? Here are five related questions:

1. How would the expression change if the constants were different?
2. What happens if the coefficients of \(x\) were different?
3. How can you solve for \(x\) if the equation is set equal to another expression?
4. What is the standard form of a linear equation?
5. Can you expand this expression using the distributive property?

**Tip:** When simplifying expressions, always distribute first and then combine like terms.

3(x+5) − 3(x+5) + 6 simplified and in standard form

Discover how to simplify the algebraic expression 3(x+5) − 3(x+5) + 6 using the distributive property and combining like terms. This step-by-step guide covers key algebra concepts suitable for students in Grades 6-8.

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