Question

solve for x in simplest form.
$4 = \frac{2}{3}(8x - 3)$

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 3:
$$4 \times 3 = \frac{2}{3}(8x - 3) \times 3$$
$$12 = 2(8x - 3)$$

Step2: Divide by 2 to simplify

Divide both sides by 2:
$$\frac{12}{2} = \frac{2(8x - 3)}{2}$$
$$6 = 8x - 3$$

Step3: Isolate the x-term

Add 3 to both sides:
$$6 + 3 = 8x - 3 + 3$$
$$9 = 8x$$

Step4: Solve for x

Divide both sides by 8:
$$x = \frac{9}{8}$$

Answer:

$x = \frac{9}{8}$