Solve for $$ x $$ $$ x-\frac{5}{6}=-\frac{1}{5} $$ Simnlify vour

Question

UpStudy AI · Accepted Answer

To solve for $$ x $$ in the equation:

$$
x - \frac{5}{6} = -\frac{1}{5}
$$

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

Add $$\frac{5}{6}$$ to both sides of the equation to isolate $$ x $$:

$$
x = -\frac{1}{5} + \frac{5}{6}
$$

**Step 2:** **Find a Common Denominator**

To add the fractions, find a common denominator. The least common denominator (LCD) of 5 and 6 is 30.

$$
-\frac{1}{5} = -\frac{6}{30} \quad \text{and} \quad \frac{5}{6} = \frac{25}{30}
$$

**Step 3:** **Add the Fractions**

$$
x = -\frac{6}{30} + \frac{25}{30} = \frac{19}{30}
$$

**Final Answer:**

$$
x = \frac{19}{30}
$$
$$ x = \frac{19}{30} $$

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