To solve the equation $4x - 4 = 2x + 8$, follow these steps:

Step 1: Simplify the equation

We aim to isolate $x$. Start by subtracting $2x$ from both sides to remove $2x$ from the right-hand side:

$4x - 2x - 4 = 8$

$2x - 4 = 8$

Step 2: Add 4 to both sides

This eliminates $-4$ on the left-hand side:

$2x - 4 + 4 = 8 + 4$

$2x = 12$

Step 3: Divide by 2

Divide both sides by $2$ to solve for $x$:

$\frac{2x}{2} = \frac{12}{2}$

$x = 6$

Final Answer:

$x = 6$

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Would you like a detailed explanation of any step?

Related Questions:

1. What are common strategies to simplify linear equations?
2. How do you verify if a solution to a linear equation is correct?
3. What changes if $x$ is on only one side of the equation?
4. How are linear equations represented graphically?
5. How do you solve equations with fractions?

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