Solving the Equation: x + (x + 2) + (x + 4) = 54 – A Step-by-Step Guide

Mathematics is not only about formulas and numbers—it’s also about logical problem-solving. One common type of problem many learners encounter involves simplifying and solving algebraic expressions. Today, we’ll break down a simple but classic equation:

x + (x + 2) + (x + 4) = 54

Understanding the Context

And show how to find the value of x through clear, structured steps—perfect for school math homework, test preparation, or simply strengthening algebra skills.

Step 1: Understand the Equation

We start with the equation:
x + (x + 2) + (x + 4) = 54

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Key Insights

This expression contains three terms:

  • x
  • (x + 2)
  • (x + 4)

These are linear expressions involving the unknown variable x.

Step 2: Expand and Combine Like Terms

Although parentheses help organize the expression, we can simplify it by expanding:

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Final Thoughts

x + x + 2 + x + 4 = 54

Now combine all similar terms:

  • x + x + x = 3x
  • constants: 2 + 4 = 6

So the equation becomes:
3x + 6 = 54

Step 3: Isolate the Variable Term

To solve for x, first subtract 6 from both sides:

3x + 6 − 6 = 54 − 6
3x = 48

Step 4: Solve for x