Question

$2 + \frac{4}{x} = \frac{4}{1} - \frac{6}{x}$

Explanation:

Step1: Rewrite the clear equation

$$2 + \frac{4}{x} = -\frac{4}{x} + 6$$

Step2: Isolate terms with $x$

Add $\frac{4}{x}$ to both sides, subtract 2 from both sides:
$$\frac{4}{x} + \frac{4}{x} = 6 - 2$$

Step3: Simplify both sides

$$\frac{8}{x} = 4$$

Step4: Solve for $x$

Multiply both sides by $x$, divide by 4:
$$x = \frac{8}{4} = 2$$

Answer:

$x=2$