Solving for x, 3x = 54 - 6 = 48, so x = 48 / 3 = 16.

February 22, 2026

Title: How to Solve for x: A Simple Steps Guide to x = 16 in 3x = 54 – 6 = 48

Understanding how to solve a basic linear equation is a fundamental skill in algebra — and mastering it starts with clarity and step-by-step reasoning. Today, we’ll walk through solving the equation 3x = 54 – 6 = 48 to isolate x, showing how the solution comes together neatly at x = 16.

The Equation: 3x = 54 – 6 = 48

At first glance, the equation may seem a bit confusing because it uses two equal signs and multiple terms. But breaking it down step by step reveals the straightforward logic behind solving for x.

Step 1: Simplify the Right Side

The equation begins with: 3x = 54 – 6 = 48

Start by simplifying the expression on the right:

First, calculate 54 – 6, which equals 48.
So, the equation becomes: 3x = 48

This gives you a clear linear expression: 3 times x equals 48.

Step 2: Isolate the Variable x

To solve for x, divide both sides of the equation by the coefficient of x, which is 3.

3x = 48 → x = 48 ÷ 3 → x = 16

This step works because dividing both sides by the same number maintains the equality. This fundamental principle is essential when solving any equation.

Why This Approach Works

Order of Operations: Parentheses are evaluated first, then subtraction, then division.
Balancing Equations: Whichever operation you perform, doing the same to both sides ensures the equation stays balanced.
Simplification: Reducing expressions and directly isolating the variable makes the solution clear and immediate.

Final Answer

After carefully solving 3x = 54 – 6 = 48, we conclude: x = 16

Why Understanding This Matters

Solving for x is more than memorizing steps — it’s about developing logical thinking and problem-solving skills applicable across math, science, and real-world scenarios. Whether you’re balancing budgets, calculating measurements, or building code, knowing how to isolate variables empowers you to find precise solutions quickly and confidently.

Key Takeaways:

Always simplify expressions first.
Apply inverse operations step by step to isolate the unknown.
Maintain balance by performing the same operation on both sides.
Double-check your work by substituting x = 16 back into the original equation.

Try it now: Start with 3x = 54 – 6 = 48 — apply what you’ve learned and verify that x = 16 satisfies the equation.

Start small, practice often, and watch your algebraic confidence grow!

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