Simplify. $$ -\frac{3 x}{4-x}-\frac{x+4}{x-4} $$

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Calculate or simplify the expression $$ -\frac{3x}{4-x}-\frac{x+4}{x-4} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$-\frac{3x}{4-x}-\frac{x+4}{x-4}$$
- step1: Reduce fractions to a common denominator:
  $$-\frac{3x}{4-x}-\frac{\left(x+4\right)\left(-1\right)}{\left(x-4\right)\left(-1\right)}$$
- step2: Reorder the terms:
  $$-\frac{3x}{4-x}-\frac{\left(x+4\right)\left(-1\right)}{-\left(x-4\right)}$$
- step3: Rewrite the expression:
  $$-\frac{3x}{4-x}-\frac{\left(x+4\right)\left(-1\right)}{4-x}$$
- step4: Transform the expression:
  $$\frac{-3x-\left(x+4\right)\left(-1\right)}{4-x}$$
- step5: Multiply the terms:
  $$\frac{-3x-\left(-x-4\right)}{4-x}$$
- step6: Subtract the terms:
  $$\frac{-2x+4}{4-x}$$
The simplified expression is $$ \frac{-2x+4}{4-x} $$.
The simplified expression is $$ \frac{-2x+4}{4-x} $$.

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