Let's solve the equation step by step.

Given:
\[
2x + 10 + 3x - 20 = 180
\]

### Step 1: Combine like terms
Combine the \(x\)-terms and the constant terms:
\[
(2x + 3x) + (10 - 20) = 180
\]
\[
5x - 10 = 180
\]

### Step 2: Isolate the \(x\)-term
Add 10 to both sides to isolate the term with \(x\):
\[
5x = 180 + 10
\]
\[
5x = 190
\]

### Step 3: Solve for \(x\)
Divide both sides by 5:
\[
x = \frac{190}{5}
\]
\[
x = 38
\]

Thus, the solution is \(x = 38\).

Would you like more details on any step, or do you have any questions?

Here are 5 related questions for practice:
1. Solve: \(4x + 7 - 3x + 2 = 25\)
2. Solve: \(3x + 12 - 5x + 8 = 90\)
3. Solve: \(6x - 15 + 2x + 5 = 100\)
4. Solve: \(7x - 12 + 3x + 5 = 38\)
5. Solve: \(8x + 20 - 4x - 10 = 60\)

**Tip:** When solving equations, always look to combine like terms first to simplify the equation before proceeding.

Learn how to solve the linear equation 2x + 10 + 3x - 20 = 180 step by step. This problem involves key algebraic concepts such as combining like terms and solving for x. Suitable for students in Grades 6-8.

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