Solving for x, 3x = 54 - 6 = 48, so x = 48 / 3 = 16. - Parker Core Knowledge
Title: How to Solve for x: A Simple Steps Guide to x = 16 in 3x = 54 – 6 = 48
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.
Understanding the Context
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
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Key Insights
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
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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
