800x + 4000 + 1200x = 24000 - Coaching Toolbox

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:

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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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Final Thoughts

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