## Solving the Equation: 0.5(4 – 8x) = 5 – (8x + 2)

This article will guide you through the steps to solve the linear equation **0.5(4 – 8x) = 5 – (8x + 2)**.

### Step 1: Distribute

Start by distributing the 0.5 on the left side and the negative sign on the right side:

**0.5(4 – 8x) = 5 – (8x + 2)****2 - 4x = 5 - 8x - 2**

### Step 2: Combine Like Terms

Combine the constant terms on the right side of the equation:

**2 - 4x = 3 - 8x**

### Step 3: Isolate the Variable

Move all the x terms to one side and the constant terms to the other side:

**-4x + 8x = 3 - 2**

### Step 4: Simplify

Simplify the equation:

**4x = 1**

### Step 5: Solve for x

Divide both sides by 4 to isolate x:

**x = 1/4**

### Conclusion

Therefore, the solution to the equation **0.5(4 – 8x) = 5 – (8x + 2)** is **x = 1/4**. You can always verify your answer by substituting this value back into the original equation and ensuring both sides are equal.