$$ K \begin{array}{l} ext { Solve. Check your solution. } \ -\frac{5}{13}=x+\frac{4}{13} \ x=\square ext { (Type an integer or a fraction.) }\end{array} $$

Question

$$ K \begin{array}{l}	ext { Solve. Check your solution. } \ -\frac{5}{13}=x+\frac{4}{13} \ x=\square 	ext { (Type an integer or a fraction.) }\end{array} $$

UpStudy AI · Accepted Answer

To solve the equation:

$$
-\frac{5}{13} = x + \frac{4}{13}
$$

**Step 1: Isolate $$ x $$**

Subtract $$\frac{4}{13}$$ from both sides of the equation to solve for $$ x $$:

$$
-\frac{5}{13} - \frac{4}{13} = x
$$

Combine the fractions on the left side:

$$
x = -\frac{5 + 4}{13} = -\frac{9}{13}
$$

**Solution:**

$$
x = -\frac{9}{13}
$$

**Step 2: Check the Solution**

Substitute $$ x = -\frac{9}{13} $$ back into the original equation to verify:

$$
-\frac{5}{13} = \left(-\frac{9}{13}\right) + \frac{4}{13}
$$

Combine the terms on the right side:

$$
-\frac{5}{13} = \frac{-9 + 4}{13} = -\frac{5}{13}
$$

Both sides of the equation are equal, confirming that the solution is correct.

**Final Answer:**

$$
x = -\frac{9}{13}
$$
$$ x = -\frac{9}{13} $$

\( K \begin{array}{l}\text { Solve. Check your solution. } \\ -\frac{5}{13}=x+\frac{4}{13} \\ x=\square \text { (Type an integer or a fraction.) }\end{array} \)

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