Solving $ 3x - 24 = 96 $: Step-by-Step Guide to Find the Value of x

If you're working on solving linear equations like $ 3x - 24 = 96 $, you're starting with a classic algebra principle that’s essential for students, teachers, and math learners. Understanding how to isolate the variable $ x $ unlocks the key to solving many real-world problems — from budgeting and calculating distances to understanding scientific models. In this SEO-optimized guide, we’ll walk you through solving the equation $ 3x - 24 = 96 $ step-by-step, improve your math skills, and boost your visibility on search engines by targeting high-value keywords.

Understanding the Context

Understanding the Equation $ 3x - 24 = 96 $

The equation $ 3x - 24 = 96 $ is a first-degree linear equation, where the variable $ x $ is multiplied by a coefficient (3), there is a constant term (-24), and the result equals 96. These equations are foundational in algebra and form the basis for more advanced math topics.

Why learn this equation?

  • Mastery of linear equations improves problem-solving abilities.
  • This skill applies to physics, economics, computer science, and everyday decision-making.
  • Properly structured content helps secure high-ranking positions on search engines, especially in education and academic fields.
Then: $ 3x - 24 = 96 $.

Key Insights

Step-by-Step Solution to $ 3x - 24 = 96 $

Step 1: Isolate the term with $ x $

To begin solving for $ x $, eliminate the constant on the left side. Add 24 to both sides:

$$
3x - 24 + 24 = 96 + 24
$$

Simplify:

$$
3x = 120
$$

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Final Thoughts

SEO keyword: how to isolate x in linear equations

Step 2: Solve for $ x $ by dividing both sides by 3

Now that $ 3x = 120 $, divide both sides by 3 to isolate $ x $:

$$
rac{3x}{3} = rac{120}{3}
$$

Simplify:

$$
x = 40
$$

Optimized keyword: solve for x step-by-step algebra

Final Answer

$$
oxed{x = 40}
$$