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