Question

(\frac{2}{3x} - \frac{4}{x + 2} =)

Explanation:

Step1: Find common denominator

The common denominator of $3x$ and $x+2$ is $3x(x+2)$.

Step2: Rewrite fractions with common denominator

$$\frac{2(x+2)}{3x(x+2)} - \frac{4(3x)}{3x(x+2)}$$

Step3: Expand numerators

$$\frac{2x+4 - 12x}{3x(x+2)}$$

Step4: Combine like terms in numerator

$$\frac{-10x+4}{3x(x+2)}$$

Step5: Factor numerator (optional)

$$\frac{-2(5x-2)}{3x(x+2)}$$

Answer:

$\frac{-10x+4}{3x(x+2)}$ or $\frac{-2(5x-2)}{3x(x+2)}$