How to Solve the Equation: x + 2x + (2x – 10,000) = 240,000 Step-by-Step

Understanding algebra is essential for solving real-world problems, and breaking down equations step-by-step is key to finding accurate solutions. In this article, we’ll solve the equation:

x + 2x + (2x – 10,000) = 240,000

Understanding the Context

— a common type of equation found in finance, budgeting, and data analysis. Knowing how to solve it not only improves your math skills but also helps in solving practical challenges like calculating investments, savings, or break-even points.

Step 1: Combine Like Terms

Start by combining all the x terms on the left side:

Total: x + 2x + (2x – 10,000) = 240,000 → 5x – 10,000 = 240,000 → 5x = 250,000 → x = <<250000/5=50000>>50,000

Key Insights

  • x + 2x + 2x = 5x

So the equation becomes:

5x – 10,000 = 240,000

Step 2: Isolate the Variable Term

Continue Reading

The dimensions of the path-reduced garden are reduced by 2 meters in each dimension (1 meter on each side), resulting in dimensions of 13 meters by 8 meters. The area of the remaining garden is 13 * 8 = 104 square meters.
A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If a solid sphere with a radius of 2 meters is submerged in the tank, by how many cubic meters does the water level rise?
The volume of the sphere is calculated using the formula \( \frac{4}{3} \pi r^3 \). For a radius of 2 meters, the sphere's volume is \( \frac{4}{3} \pi (2)^3 = \frac{32}{3} \pi \) cubic meters. This volume matches the rise in water level in the tank.

🔗 Related Articles You Might Like:

📰 they don’t belong in any lake—they’re a nightmare beneath the surface, can you survive? 📰 .a fish that hunts where shadows swim—discover the terrifying truth behind its gaze! 📰 the ono fish bite harder than you think—prepare for the bite that echoes forever! 📰 Surprise Your Friends With These 7 Unforgettable Birthday Dinner Ideas 📰 Surprise Your Partners With These Blackstone Dinner Ideas That Guarantee Impressions 📰 Surprise Your Sister With These Shockingly Beautiful Birthday Wishes 📰 Surprise Yourself Download Bodacious Birthday Coloring Pages Instantly 📰 Surprise Yourselfbisquick Chicken Dumplings Is Simpler Than You Think Try It Now 📰 Swap Salad For This Big Mac Masterpiecerich Crunchy And Irresistible 📰 Sweepthing Giant Uncover The True Size Of The Legendary Biggest Pokmon 📰 Swipe To Discover The Untold Power Behind Blanka You Wont Believe It 📰 Swipe To See The Blue Sofa Thats Taking Interior Design By Storm 📰 Swipe To See The Coolest Black Denim Shorts Thatll Transform Your Look 📰 Swipe To See Why Black Closed Toe Heels Are The Hottest Must Have For Any Occasion 📰 Swipe Up Black Ankle Boots That Style Every Outfit Like A Pro Limited Stock Alert 📰 Synonimy 📰 T 122 12211 📰 T 232 23233

Final Thoughts

Add 10,000 to both sides to eliminate the constant on the left:

5x = 240,000 + 10,000
5x = 250,000

Step 3: Solve for x

Now divide both sides by 5:

x = 250,000 ÷ 5
x = 50,000

Final Answer

x = 50,000