To solve the equation \( 6x - 4(8 - x) = 106 \), follow these steps:

### Step 1: Distribute the \(-4\)
\[
6x - 4(8 - x) = 106
\]
\[
6x - 32 + 4x = 106
\]

### Step 2: Combine like terms
\[
(6x + 4x) - 32 = 106
\]
\[
10x - 32 = 106
\]

### Step 3: Add 32 to both sides
\[
10x = 106 + 32
\]
\[
10x = 138
\]

### Step 4: Divide both sides by 10
\[
x = \frac{138}{10}
\]
\[
x = 13.8
\]

Thus, the solution is \( x = 13.8 \).

If you meant to have another equation or part like "7," let me know, and I'll adjust the solution accordingly!

Would you like more details or have any other questions?

Here are 5 questions to expand your learning:
1. How do you handle equations with variables on both sides?
2. What are some techniques for solving quadratic equations?
3. How would the equation change if \(106\) was negative?
4. How do you check your solution by substituting the value of \(x\)?
5. What are common errors when solving linear equations?

**Tip:** Always double-check for any missed distribution or sign errors during calculations.

Learn how to solve the linear equation 6x - 4(8 - x) = 106 with a step-by-step solution. This problem covers important algebraic concepts such as the distributive property and solving linear equations, making it suitable for students in Grades 8-10.

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