Solve for $$ x $$ $$ \begin{array}{l}\frac{2}{x+5}=\frac{-5}{x+3} \ x=\end{array} $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{2}{x+5} = \frac{-5}{x+3}
$$

**Step 1: Cross-Multiply**

Multiply both sides of the equation by $$(x+5)(x+3)$$ to eliminate the denominators:

$$
2(x + 3) = -5(x + 5)
$$

**Step 2: Distribute**

Expand both sides:

$$
2x + 6 = -5x - 25
$$

**Step 3: Combine Like Terms**

Bring all terms involving $$x$$ to one side and constant terms to the other:

$$
2x + 5x = -25 - 6
$$

$$
7x = -31
$$

**Step 4: Solve for $$x$$**

Divide both sides by 7:

$$
x = -\frac{31}{7}
$$

**Final Answer:**

$$
x = -\frac{31}{7}
$$
$$ x = -\frac{31}{7} $$

Solve for \( x \) \( \begin{array}{l}\frac{2}{x+5}=\frac{-5}{x+3} \\ x=\end{array} \)