a. $$ \frac{8-x}{x}=\frac{-13}{5} $$

Question

UpStudy AI · Accepted Answer

1. Start with the given equation:
   $$
   \frac{8-x}{x} = \frac{-13}{5}
   $$

2. Cross-multiply to eliminate the fractions:
   $$
   5(8-x) = -13x
   $$

3. Distribute $$5$$ on the left-hand side:
   $$
   40 - 5x = -13x
   $$

4. Add $$13x$$ to both sides to collect the $$x$$-terms:
   $$
   40 - 5x + 13x = 0
   $$
   $$
   40 + 8x = 0
   $$

5. Isolate $$x$$ by subtracting $$40$$ from both sides:
   $$
   8x = -40
   $$

6. Divide both sides by $$8$$:
   $$
   x = -5
   $$

The solution to the equation is $$ x = -5 $$.
$$ x = -5 $$

a.