Their sum: x + (x + 2) + (x + 4) = 54

February 22, 2026

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

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

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:

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

Now divide both sides by 3:

x = 48 ÷ 3 x = 16

Step 5: Check the Solution

It’s always good practice to substitute x = 16 back into the original equation:

Left side: x + (x + 2) + (x + 4) = 16 + (16 + 2) + (16 + 4) = 16 + 18 + 20 = 54

Right side: 54

✔️ The equation holds true, confirming our solution is correct.

Why This Problem Matters

This type of linear equation helps build foundational algebra skills. Whether you're studying for standardized tests, learning algebra systematically, or just curious about how equations work, mastering step-by-step simplification and isolation is key.

Moreover, such problems teach logical thinking and precision—skills essential in STEM fields and everyday problem solving.

Final Answer

x = 16

Bonus Tips

Always simplify expressions before solving.
Keep like terms grouped.
Check your solution by replacing variables with numbers.
Practice with similar equations to build confidence.

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Master this easy sum and watch your algebra confidence grow! 🧮✨

Need more practice? Try similar equations like x + (x + 3) + (x + 6) = 75 or x + (x + 1) + (x + 5) = 45 to reinforce your skills.