Solve for $$ x $$ $$ -\frac{3}{5}=x+5 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

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

**Step 1: Isolate $$ x $$**
  
To solve for $$ x $$, you need to isolate it on one side of the equation. Begin by subtracting 5 from both sides:

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

**Step 2: Simplify the Equation**

Subtracting 5 from both sides simplifies the equation:

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

**Step 3: Combine Like Terms**

To combine the terms on the left side, it's helpful to express 5 as a fraction with the same denominator as $$ \frac{3}{5} $$. Since 5 is equivalent to $$ \frac{25}{5} $$, the equation becomes:

$$
-\frac{3}{5} - \frac{25}{5} = x
$$

Combine the fractions:

$$
-\frac{3 + 25}{5} = x
$$
$$
-\frac{28}{5} = x
$$

**Step 4: Simplify the Fraction (Optional)**

You can leave the answer as an improper fraction or convert it to a mixed number or decimal:

- **Improper Fraction:** $$ x = -\frac{28}{5} $$
- **Mixed Number:** $$ x = -5\frac{3}{5} $$
- **Decimal:** $$ x = -5.6 $$

**Final Answer:**

$$
x = -\frac{28}{5}
$$

**Alternatively, in decimal form:**

$$
x = -5.6
$$
$$ x = -\frac{28}{5} $$ or $$ x = -5.6 $$

Solve for \( x \) \( -\frac{3}{5}=x+5 \)

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