Simplify: $ 5x + 6 = 102 $.

Simplify $ 5x + 6 = 102 $: A Step-by-Step Guide to Solving Linear Equations

Solving algebraic equations is a fundamental skill in math, and simplifying expressions like $ 5x + 6 = 102 $ is essential for students, educators, and lifelong learners alike. Whether you're tackling this equation for homework, preparing for a math test, or building foundational knowledge, understanding how to isolate the variable and solve it step by step is key. In this article, we break down how to simplify and solve the equation $ 5x + 6 = 102 $ clearly and precisely.

Understanding the Context

What Is the Equation $ 5x + 6 = 102 $?

The equation $ 5x + 6 = 102 $ is a linear equation in one variable, where $ x $ represents an unknown number. The goal is to find the value of $ x $ that makes the equation true.

Step 1: Subtract 6 from Both Sides

To isolate the term with $ x $, begin by eliminating the constant on the left side. Subtract 6 from both sides:
$$
5x + 6 - 6 = 102 - 6
$$
Simplify:
$$
5x = 96
$$

Key Insights

This step uses the principle of equality — whatever you do to one side, you do to the other to maintain balance.

Step 2: Divide Both Sides by 5

Now, divide both sides by 5 to solve for $ x $:
$$
rac{5x}{5} = rac{96}{5}
$$
Simplify:
$$
x = 19.2
$$

Since 96 divided by 5 equals 19.2, the solution is $ x = 19.2 $.

🔗 Related Articles You Might Like:

📰 Blonde With Ash: Beneath The Ashes Lies A Heart In Pieces 📰 Blonde With Ash: The Truth Behind The Blonde Girl And Ash Smoke 📰 Blonde With Ash: How Her Blonde Hair Was Drenched In Fire And Secrets 📰 Tenet Filmed Like Never Before The Shocking Truth About Its Hidden Filmed Sequence 📰 Tenet Revealed The Unseen Filmed Channels That Changed Cinema Forever 📰 Tenga Egg Blossoms Into Something Elusivea Secret Revealed 📰 Tenga Egg Hidden Behind This Ordinary Shellyou Wont Believe What It Can Do 📰 Tennis Ball Secrets That Could Change Your Game Forever 📰 Tennis Club Hiding More Than Just Court Timeunbelievable Revelations 📰 Tennis Dress That Caught Everyones Eye At The Championship Night 📰 Tennis Necklace Hidden Gift Turn Your Love Into Thunder 📰 Tennis Necklace That Changed Her Life Forever 📰 Tennis Shoes That Will Change Your Game Foreveryou Wont Believe How Different They Feel 📰 Tennis Verenigings Dark Secret You Never Knew About Local Matches 📰 Tenniser Revealed The Real Reason Behind His Sudden Star Collapse And Its Stunning 📰 Tenor Sax 📰 Tensionnament Revealed The Secret Weapon Holding Your Tension Hostage 📰 Tensionnement Uncovered What This Ancient Practice Does To Your Body Like Never Before

Final Thoughts

Why Simplifying $ 5x + 6 = 102 $ Matters

Mastering this simple linear equation helps build confidence in algebra. The process involves:

Isolating variables: Moving constants to the opposite side using addition/subtraction.
Balancing equations: Performing identical operations on both sides to preserve equality.
Inverting operations: Using division to undo multiplication.

These fundamental skills apply not just to math homework, but also to real-world problems involving budgeting, planning, and data analysis.

Final Answer

$$
oxed{x = 19.2}
$$

Additional Tips for Simplifying Linear Equations

Always simplify expressions fully before solving.
Use inverse operations in the correct order: start by undoing addition with subtraction, then multiplication with division.
Check your solution by substituting $ x = 19.2 $ back into the original equation:
$$
5(19.2) + 6 = 96 + 6 = 102
$$
The equation holds true, confirming your answer is correct.