Let's solve the equation \( 3x - 23 + 7x - 7 = 180 \).

### Step-by-step solution:

1. **Combine like terms on the left side**:
   \[
   3x + 7x - 23 - 7 = 180
   \]
   \[
   10x - 30 = 180
   \]

2. **Move the constant term (-30) to the right side**:
   \[
   10x = 180 + 30
   \]
   \[
   10x = 210
   \]

3. **Divide both sides by 10 to solve for \( x \)**:
   \[
   x = \frac{210}{10}
   \]
   \[
   x = 21
   \]

### Final Answer:
\[
x = 21
\]

Would you like more details or have any questions?

### Related Questions:
1. How would the solution change if the right-hand side was a different number, like 150?
2. Can we solve similar equations with fractions or decimals?
3. What if the variable \(x\) appeared on both sides of the equation?
4. How do you verify if the solution \(x = 21\) is correct?
5. Can you express the equation graphically?

### Tip:
Always simplify both sides of an equation as much as possible before solving!

Learn how to solve the linear equation 3x - 23 + 7x - 7 = 180 through a detailed step-by-step guide. This solution covers key algebraic concepts like combining like terms and solving for a variable, making it suitable for students in Grades 6-8.

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