Let's solve the equation \(4x + 6 + 3 = 17\).

### Step 1: Simplify the equation by combining like terms.
The equation can be simplified by adding the constants on the left side:

\[
4x + 9 = 17
\]

### Step 2: Isolate the variable term.
Next, subtract 9 from both sides of the equation to isolate the term with the variable \(x\):

\[
4x = 17 - 9
\]

\[
4x = 8
\]

### Step 3: Solve for \(x\).
Finally, divide both sides by 4 to solve for \(x\):

\[
x = \frac{8}{4} = 2
\]

The solution is \(x = 2\).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you solve a linear equation with variables on both sides?
2. What happens if you divide by zero when solving an equation?
3. How do you solve equations that include parentheses?
4. Can you explain how to solve equations with decimals?
5. What are some techniques for solving word problems involving linear equations?

**Tip:** After finding the solution, it's always a good idea to substitute it back into the original equation to verify that it works.

Learn how to solve the equation 4x + 6 + 3 = 17 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations. Suitable for students in Grades 6-8.

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