800x + 4000 + 1200x = 24000 - AMAZONAWS
Solving the Equation: 800x + 4000 + 1200x = 24000 – A Step-by-Step Guide
Solving the Equation: 800x + 4000 + 1200x = 24000 – A Step-by-Step Guide
Understanding how to solve linear equations is a fundamental skill in algebra — and today, we’re walking through one of the most common equation types with real-world relevance. In this article, we’ll solve:
800x + 4000 + 1200x = 24000
Understanding the Context
Whether you're a student mastering math concepts or a professional brushing up on problem-solving, this equation offers a practical example of algebraic reasoning.
What Is the Equation?
We are given:
Key Insights
800x + 4000 + 1200x = 24000
This equation combines algebraic terms (800x and 1200x) with a constant (4000), and our goal is to isolate x to find its value. Solving such equations helps build the logical thinking skills needed for advanced math and everyday problem-solving.
Step-by-Step Solution
Step 1: Combine Like Terms
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The equation contains two variable terms with x: 800x and 1200x. Add these together:
800x + 1200x = 2000x
So the equation simplifies to:
2000x + 4000 = 24000
Step 2: Isolate the Variable Term
Subtract 4000 from both sides to move the constant to the right side:
2000x = 24000 - 4000
2000x = 20000
