800(x + 5) + 1200x = 24000

Solving the Equation: 800(x + 5) + 1200x = 24,000

Mathematics is all around us—hidden in formulas, budgets, and everyday problem-solving. Whether you're a student tackling algebra or a professional figuring out a budget, equations like 800(x + 5) + 1200x = 24,000 come up often. In this detailed SEO-friendly guide, we’ll break down how to solve this linear equation step-by-step, explain its real-world applications, and show why mastering algebra is essential.

Understanding the Context

What Is the Equation: 800(x + 5) + 1200x = 24,000?

At first glance, the equation
800(x + 5) + 1200x = 24,000
might look intimidating. But with careful expansion and simplification, it becomes manageable. This equation involves distributing a compound term, combining like terms, and isolating the variable x to find its exact value.

Step-by-Step Solution: How to Solve 800(x + 5) + 1200x = 24,000

Key Insights

Step 1: Expand the Parentheses
Distribute the 800 across (x + 5):
800 × x = 800x
800 × 5 = 4,000
So,
800(x + 5) = 800x + 4,000

Now the equation becomes:
800x + 4,000 + 1200x = 24,000

Step 2: Combine Like Terms
Combine the x terms (800x + 1200x = 2000x):
2000x + 4,000 = 24,000

🔗 Related Articles You Might Like:

📰 Sleep & Store Like a Pro with This Space-Saving Bed Breakthrough! 📰 Tired of Messy Rooms? This Bed with Hidden Storage Will Revolutionize Your Bedroom! 📰 Bigger Drawers, Bigger Savings—See How This Bed Solves Your Storage Problem! 📰 Why Everyiore Swears By Aura Lounges Transformative Vibeyou Need To See It 📰 Why Everyone Is Dumping Ice Cream Boxes In The Freezerheres The Biscoff Secrets 📰 Why Everyone Is Eating This Burrito Like Its The Ultimate Comfort Fix 📰 Why Everyone Is Obsessed With Bell Flowersyoull Be Next 📰 Why Everyone Is Rushing To Buy Birkenstock Naples At Light Speed 📰 Why Everyone Refuses To Answer Area Code 520This Mystery Will Haunt You 📰 Why Everyone Was Silent After Bj Alex Said This Mysterious Truth 📰 Why Everyones Obsessed With Ap Pro X The Game Changer You Missed 📰 Why Everyones Obsessed With B A C T You Have To Discover It Now 📰 Why Everyones Obsessed With Ball And Sackyoull Never Look At Them The Same Way 📰 Why Everyones Obsessed With The Truth Behind The Bess Definition 📰 Why Everyones Talking About Att Settlementthe Hidden Details You Need Now 📰 Why Everyones Using A Different Door Width You Freaky Facts Reveal 📰 Why Everyones Whispering About Area Code 912 Now 📰 Why Experts Are Calling Barq Root Beer The Best Drink For Your Nerves

Final Thoughts

Step 3: Isolate the x-Term
Subtract 4,000 from both sides:
2000x = 24,000 – 4,000
2000x = 20,000

Step 4: Solve for x
Divide both sides by 2000:
x = 20,000 ÷ 2000
x = 10

Verification

Plug x = 10 back into the original equation:
800(10 + 5) + 1200(10) = 24,000
800(15) + 12,000 = 24,000
12,000 + 12,000 = 24,000 ✅

True—our solution works!

Real-World Applications of Linear Equations

Equations like this aren’t just abstract math—they model real-life situations: