x + (x+1) + (x+2) = 3x + 3 = 33 - IQnection
Solve the Equation: x + (x + 1) + (x + 2) = 33 – Step-by-Step Explanation
Solve the Equation: x + (x + 1) + (x + 2) = 33 – Step-by-Step Explanation
Understanding and solving simple algebraic equations is a foundational math skill with real-world applications. Whether you’re measuring quantities, planning budgets, or analyzing data, being able to translate word problems into math equations ensures accuracy. In this article, we’ll explore how to solve the equation x + (x + 1) + (x + 2) = 33, simplify it step-by-step, and verify the solution. We’ll also explain why this basic algebra is crucial in everyday problem-solving.
The Original Equation:
x + (x + 1) + (x + 2) = 33
Understanding the Context
This equation models a scenario where three consecutive integers—x, x+1, and x+2—are added together, and the total equals 33. Recognizing that these represent sequential numbers helps speed up simplification.
Step 1: Combine Like Terms
Start by removing the parentheses and combining all x-terms:
x + (x + 1) + (x + 2) = x + x + 1 + x + 2
Combine the x-values:
x + x + x = 3x
1 + 2 = 3
So the left side simplifies to:
3x + 3
Image Gallery
Key Insights
Now the equation becomes:
3x + 3 = 33
Step 2: Isolate the Variable
Subtract 3 from both sides to isolate the term with x:
3x + 3 – 3 = 33 – 3
3x = 30
Step 3: Solve for x
Divide both sides by 3:
3x ÷ 3 = 30 ÷ 3
x = 10
Step 4: Verify the Solution
Check by plugging x = 10 back into the original equation:
x + (x + 1) + (x + 2) = 10 + (10 + 1) + (10 + 2)
= 10 + 11 + 12 = 33
This confirms the solution is correct.
🔗 Related Articles You Might Like:
📰 Dinosaur Roblox Games 📰 Dinosaur Simulator in Roblox 📰 Roblox Transactions History 📰 Computer Game Sales 3333425 📰 You Wont Believe The Secret Made With Every Single Ikura Piece 5986527 📰 Is This Hidden Power Behind Antarvacna About To Change Your Life Forever 4325113 📰 California Taxable Income Brackets 3548985 📰 Hormone Igf1 3778997 📰 Nutritional Information Of A Carrot 149062 📰 Water Bottle Delivery Service 6902559 📰 How To Change Tabs With Keyboard 3081826 📰 What Was The Winning Numbers For Powerball Last Night 814884 📰 Fungs Kitchen 4523273 📰 Best Games For Mac Free 354284 📰 Cable Tv Verizon 7427876 📰 How Many Diagonals Does A Heptagon Have 9809044 📰 Kyle Jackson Savannah Bananas 3168065 📰 The Sec Just Signaled Sempra Energy Stock Could Skyrocketact Fast 3610395Final Thoughts
Why Solving Linear Equations Like This Matters
Linear equations such as x + (x + 1) + (x + 2) = 33 appear in budgeting—calculating predicted monthly expenses—science in measuring successive data points, and in crafting equations for engineering and computer science. Mastering step-by-step algebra helps build logical thinking and precision in real-life decision-making.
Conclusion
The solution to x + (x + 1) + (x + 2) = 33 is x = 10. By combining like terms and isolating the variable, we efficiently solve simple linear equations that reflect everyday situations. Practice these steps to strengthen your math foundation and tackle more complex problems with confidence.
Keywords: algebra, solve x + (x + 1) + (x + 2) = 33, linear equations, step-by-step math, solve x, math problem-solving, basic algebra, educational math, math skills development
Meta Description: Learn how to solve the equation x + (x + 1) + (x + 2) = 33 step-by-step, verify your answers, and understand why this foundational algebra skill matters in everyday problem-solving.
