Then: $ 3x - 24 = 96 $. - Coaching Toolbox
Solving $ 3x - 24 = 96 $: Step-by-Step Guide to Find the Value of x
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.
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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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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
$$
oxed{x = 40}
$$
