Question

4(x - 1) = \frac{1}{2}(x - 8)

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 2:
$$2 \times 4(x-1) = 2 \times \frac{1}{2}(x-8)$$
$$8(x-1) = x-8$$

Step2: Expand the left side

Distribute the 8:
$$8x - 8 = x - 8$$

Step3: Isolate x terms

Subtract $x$ from both sides:
$$8x - x - 8 = -8$$
$$7x - 8 = -8$$

Step4: Isolate the variable

Add 8 to both sides:
$$7x = -8 + 8$$
$$7x = 0$$

Step5: Solve for x

Divide both sides by 7:
$$x = \frac{0}{7}$$

Answer:

$x = 0$