Resolver para $$ x $$ $$ \frac{-22}{x+5}=\frac{-12}{x} $$

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Solve the equation $$ \frac{-22}{x+5}=\frac{-12}{x} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{-22}{x+5}=\frac{-12}{x}$$
- step1: Find the domain:
  $$\frac{-22}{x+5}=\frac{-12}{x},x \in \left(-\infty,-5ight)\cup \left(-5,0ight)\cup \left(0,+\inftyight)$$
- step2: Cross multiply:
  $$-22x=\left(x+5ight)\left(-12ight)$$
- step3: Simplify the equation:
  $$-22x=-12\left(x+5ight)$$
- step4: Rewrite the expression:
  $$-2	imes 11x=-2	imes 6\left(x+5ight)$$
- step5: Evaluate:
  $$11x=6\left(x+5ight)$$
- step6: Expand the expression:
  $$11x=6x+30$$
- step7: Move the variable to the left side:
  $$11x-6x=30$$
- step8: Subtract the terms:
  $$5x=30$$
- step9: Divide both sides:
  $$\frac{5x}{5}=\frac{30}{5}$$
- step10: Divide the numbers:
  $$x=6$$
- step11: Check if the solution is in the defined range:
  $$x=6,x \in \left(-\infty,-5ight)\cup \left(-5,0ight)\cup \left(0,+\inftyight)$$
- step12: Find the intersection:
  $$x=6$$
La solución de la ecuación $$ \frac{-22}{x+5}=\frac{-12}{x} $$ es $$ x=6 $$.
$$ x=6 $$

Resolver para \( x \) \( \frac{-22}{x+5}=\frac{-12}{x} \)

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