Let's solve the equation:

\[
13 = 7x + 3 - 2x
\]

### Step 1: Combine like terms on the right side.
Combine \(7x\) and \(-2x\):

\[
13 = (7x - 2x) + 3
\]
\[
13 = 5x + 3
\]

### Step 2: Subtract 3 from both sides to isolate the term with \(x\).
\[
13 - 3 = 5x
\]
\[
10 = 5x
\]

### Step 3: Divide both sides by 5 to solve for \(x\).
\[
x = \frac{10}{5}
\]
\[
x = 2
\]

### Final Answer:
\[
x = 2
\]

Would you like further details or explanations?

Here are 5 related questions for further practice:
1. Solve: \( 10 = 6x + 2 - x \)
2. Solve: \( 15 = 8x + 5 - 3x \)
3. Solve: \( 7 = 4x + 3 - x \)
4. Solve: \( 20 = 9x + 6 - 4x \)
5. Solve: \( 18 = 11x + 8 - 5x \)

**Tip**: Always simplify the equation by combining like terms before moving variables or constants.

Learn how to solve the linear equation 13 = 7x + 3 - 2x with a step-by-step guide. This problem demonstrates key algebraic concepts such as combining like terms and isolating variables. Ideal for students in Grades 6-8.

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