Question

solve the equation
solve for x
solution
x = \frac{15}{4}
alternative form
x = 3\frac{3}{4}, x = 3.75

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 3:
$$2 \times 3 = \frac{2}{3} \times 3 \cdot (4x - 12)$$
$$6 = 2(4x - 12)$$

Step2: Divide both sides by 2

Simplify the equation:
$$\frac{6}{2} = \frac{2(4x - 12)}{2}$$
$$3 = 4x - 12$$

Step3: Isolate the x-term

Add 12 to both sides:
$$3 + 12 = 4x - 12 + 12$$
$$15 = 4x$$

Step4: Solve for x

Divide both sides by 4:
$$x = \frac{15}{4}$$

Answer:

$x = \frac{15}{4}$ (or $x = 3\frac{3}{4}$, $x = 3.75$)