Simplify: 3x + 6 = 90 - Coaching Toolbox
How to Simplify the Equation: 3x + 6 = 90 – A Step-by-Step Guide
How to Simplify the Equation: 3x + 6 = 90 – A Step-by-Step Guide
Solving math problems isn’t always easy, especially when equations look complicated at first glance. One basic but essential algebra equation that often trips students is 3x + 6 = 90. Whether you're a student learning intermediate algebra or someone brushing up on problem-solving skills, understanding how to simplify and solve this equation is key to building confidence in math.
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Understanding the Context
What is the Equation 3x + 6 = 90?
3x + 6 = 90 is a linear equation involving one variable, x. The goal is to find the value of x that makes the equation true. Such equations are foundational in algebra and widely used in real-world applications—from budgeting to science calculations.
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Key Insights
Step-by-Step Simplification & Solution
Simplifying the equation means transforming it into a form where x is isolated on one side. Here’s how:
Step 1: Subtract 6 from Both Sides
To isolate the term with x, eliminate constants first. Subtract 6 from both sides:
$$
3x + 6 - 6 = 90 - 6
$$
$$
3x = 84
$$
Step 2: Divide Both Sides by 3
Now divide both sides by 3 to solve for x:
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$$
rac{3x}{3} = rac{84}{3}
$$
$$
x = 28
$$
Final Answer
$$
x = 28
$$
To verify: plug 28 back into the original equation:
$$
3(28) + 6 = 84 + 6 = 90
$$
✅ The solution checks!
Why Simplifying Equations Matters
Understanding how to simplify and solve equations like 3x + 6 = 90 helps strengthen core math skills. Here are some benefits:
- Builds algebra proficiency
- Enhances problem-solving and logical reasoning
- Prepares learners for advanced math topics
- Boosts confidence in tackling real-world problems
Whether you're studying for exams, learning for personal enrichment, or teaching algebra, mastering equation simplification is invaluable.
