Solve for x: 25x - 10x = 5000, 15x = 5000, x = 5000 / 15, x = 333.33. - Veritas Home Health
Solve for x: 25x - 10x = 5000 – A Step-by-Step Breakdown
Solve for x: 25x - 10x = 5000 – A Step-by-Step Breakdown
Understanding how to solve basic algebraic equations is essential for mastering algebra and tackling more complex math problems. One common equation students frequently encounter is:
25x - 10x = 5000
Understanding the Context
Beyond just writing the solution, it’s important to follow through the steps logically to build confidence and ensure accuracy. Let’s break down the process of solving this equation step by step.
Step 1: Simplify the Left-Hand Side
Start with the original equation:
25x - 10x = 5000
Key Insights
Combine like terms on the left side by subtracting:
25x – 10x = 15x
Now the equation becomes:
15x = 5000
Step 2: Isolate x
To solve for x, divide both sides of the equation by 15:
x = 5000 ÷ 15
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Step 3: Calculate the Value
Perform the division:
5000 ÷ 15 = 333.33 (rounded to two decimal places)
So, the solution is:
x = 333.33
Why This Matters
Equations like 25x - 10x = 5000 appear in real-life scenarios involving linear relationships—from budgeting and finance to physics and engineering. Learning to solve for x provides a foundational skill critical for problem-solving in any STEM field.
Final Answer
x = 333.33
(Alternatively written as x ≈ 333.33 or 333 ⁔)
