Total: x + 2x + (2x – 10,000) = 240,000 → 5x – 10,000 = 240,000 → 5x = 250,000 → x = <<250000/5=50000>>50,000 - Decision Point
How to Solve the Equation: x + 2x + (2x – 10,000) = 240,000 Step-by-Step
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:
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Key Insights
- x + 2x + 2x = 5x
So the equation becomes:
5x – 10,000 = 240,000
Step 2: Isolate the Variable Term
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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
