To solve the equation:

\[
5x + 2(x + 4) = 64
\]

Follow these steps:

### Step 1: Expand the terms on the left side.
Distribute the \(2\) across the terms inside the parentheses:

\[
5x + 2(x + 4) = 64 \implies 5x + 2x + 8 = 64
\]

### Step 2: Combine like terms.
Combine the terms involving \(x\):

\[
5x + 2x + 8 = 64 \implies 7x + 8 = 64
\]

### Step 3: Isolate the variable \(x\).
Subtract \(8\) from both sides:

\[
7x = 64 - 8 \implies 7x = 56
\]

### Step 4: Solve for \(x\).
Divide both sides by \(7\):

\[
x = \frac{56}{7} \implies x = 8
\]

Thus, the solution is \(x = 8\).

Would you like more details on any of the steps?

### Related Questions:
1. What is the method to solve equations with parentheses and distribution?
2. How do you solve equations with multiple variables?
3. What happens if an equation has no solution or infinite solutions?
4. How do you check if your solution is correct?
5. What is the next step if solving equations with quadratic terms?

**Tip:** Always check your solution by substituting it back into the original equation.

Learn how to solve the linear equation 5x + 2(x + 4) = 64 with a step-by-step solution. This problem demonstrates the use of the distributive property and combining like terms, essential for students in Grades 6-8.

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