\frac{18 + 22 + 26 + 30 + x}{5} = 24

["Solve for x: How to Find the Missing Number in This Average Equation", "Understanding averages is a fundamental skill in math, especially when solving real-world problems. Today, we’re exploring a common algebraic equation that helps clarify how averages work:", "[\n\frac{18 + 22 + 26 + 30 + x}{5} = 24\n]", "This equation asks: What value of x makes the average of five numbers equal 24? Let’s break it down step-by-step to find x quickly and confidently.", "---", "### Step 1: Understand What the Equation Means\nThe left side calculates the average (mean) of five numbers: 18, 22, 26, 30, and an unknown x. The average equals 24, meaning the sum of these five numbers divided by 5 gives 24. To isolate x, we must first eliminate the division by multiplying both sides.", "---", "### Step 2: Multiply Both Sides by 5\nMultiplying both sides of the equation by 5 removes the denominator:", "[\n18 + 22 + 26 + 30 + x = 24 \ imes 5\n]", "Calculate the right side:", "[\n24 \ imes 5 = 120\n]", "Now the equation becomes:", "[\n18 + 22 + 26 + 30 + x = 120\n]", "---", "### Step 3: Add the Known Numbers\nNow sum the known values:", "[\n18 + 22 = 40\n]\n[\n40 + 26 = 66\n]\n[\n66 + 30 = 96\n]", "So:", "[\n96 + x = 120\n]", "---", "### Step 4: Solve for x\nSubtract 96 from both sides:", "[\nx = 120 - 96 = 24\n]", "---", "### Final Answer:\n[\nx = 24\n]", "---", "### Why This Equation Matters\nSolving for x in average problems helps build critical thinking and algebraic reasoning. It applies in real life—whether calculating your class average, analyzing test scores, or managing budgets.", "---", "### Summary\nTo find x:\n1. Multiply both sides by 5\n2. Add existing numbers\n3. Subtract total from 120\n4. Solve to get x = 24", "Keep practicing average calculations—you’re enhancing your math skills every step of the way!", "---", "Keywords: average equation, solving for x, algebra practice, arithmetic mean, high school math, step-by-step average problem, math tutorial, how to find missing number, solve linear equations", "Meta Description: Learn how to solve (\frac{18 + 22 + 26 + 30 + x}{5} = 24) step-by-step. Find x using algebra to master average calculations."]