To solve the equation \( 2x + 70 + 130 = 180 \), let's follow these steps:

### Step 1: Simplify the equation
First, combine like terms on the left-hand side:

\[
2x + (70 + 130) = 180
\]

\[
2x + 200 = 180
\]

### Step 2: Subtract 200 from both sides
Next, subtract 200 from both sides of the equation:

\[
2x = 180 - 200
\]

\[
2x = -20
\]

### Step 3: Divide both sides by 2
To solve for \( x \), divide both sides by 2:

\[
x = \frac{-20}{2}
\]

\[
x = -10
\]

### Solution:
The solution to the equation is \( x = -10 \).

Would you like more details or have any questions about the solution? 

Here are 5 related questions you might find interesting:

1. How would the equation change if the constant term was different, say 150 instead of 130?
2. What would happen if you multiplied both sides of the equation by 2 before solving?
3. Can you solve the equation if there was a fraction instead of whole numbers, e.g., \( \frac{3}{2}x + 70 + 130 = 180 \)?
4. How does the solution change if the variable term is something like \( 3x \) instead of \( 2x \)?
5. What is the graphical interpretation of this linear equation?

**Tip**: Always simplify the equation by combining like terms first. It helps reduce complexity and avoid errors.

Learn how to solve the linear equation 2x + 70 + 130 = 180 with a detailed, step-by-step solution. This example focuses on simplifying algebraic expressions and solving for x. Suitable for students in Grades 6-8.

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