Simplify: 3x + 6 = 90 - Dygne

April 21, 2026 · Dygne

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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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.

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:

$$
rac{3x}{3} = rac{84}{3}
$$
$$
x = 28
$$

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.

Practice Problems Similar to 3x + 6 = 90

Looking to improve? Try solving these next:

5x – 7 = 18
2x + 15 = 43
4x – 9 = 31

Use the same steps: isolate the variable term, then divide to find x.

Conclusion: Simplify to Succeed

Simplifying equations like 3x + 6 = 90 is more than just math—it’s about developing clarity and precision in thinking. By following clear, logical steps, anyone can master foundational algebra. Keep practicing, keep simplifying, and watch your math confidence soar.