It seems like the formatting of your equation might not have come through clearly. Based on your input, I believe you're dealing with the following equation:

\[
\frac{20}{x-2} - 20 = \frac{x}{4}
\]

Let's solve this equation step by step.

### Step 1: Isolate the fractions.
Start by getting rid of the constant term on the left-hand side:

\[
\frac{20}{x-2} = \frac{x}{4} + 20
\]

### Step 2: Clear the fractions by multiplying by the least common denominator (LCD).
The LCD is \(4(x-2)\). Multiply both sides of the equation by \(4(x-2)\):

\[
4(x-2) \cdot \frac{20}{x-2} = 4(x-2) \cdot \left(\frac{x}{4} + 20\right)
\]

Simplifying both sides:

\[
80 = x(x-2) + 80(x-2)
\]

### Step 3: Expand and simplify.
Expand both sides of the equation:

\[
80 = x(x-2) + 80(x-2)
\]

### Step 4: Combine like terms and solve for x.

---

**Let me know if this approach matches the correct equation and interpretation. Or, correct me with proper notation if otherwise!**

Explore how to solve the equation (20 / (x - 2)) - 20 = (x / 4) step-by-step with detailed explanations. This problem involves fractions and algebraic manipulation, suitable for high school level students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation