Understanding the Equation
The equation we are solving is x + 4 = 6. This equation represents a linear relationship where we need to find the value of x that makes this statement true.
Steps to Solve the Equation
- Isolate the Variable
To find the value of x, we need to isolate it on one side of the equation.
- Subtract 4 from Both Sides
We perform the same operation on both sides of the equation to maintain equality:
- x + 4 - 4 = 6 - 4
- Simplify
This simplifies to:
- x = 2
Conclusion: The Solution
The solution to the equation x + 4 = 6 is:
- x = 2
This means that if you substitute x with 2 in the original equation, the equation will hold true:
- 2 + 4 = 6, which confirms that our solution is correct.
Verification of the Solution
To ensure the solution is valid, we can substitute back into the original equation:
- Check:
- If x = 2, then:
- 2 + 4 = 6
- The left-hand side equals the right-hand side, confirming that our solution is accurate.
Final Thoughts
Solving linear equations like this one is straightforward when you follow the steps methodically. The key is to isolate the variable, perform operations evenly on both sides, and verify the solution by substitution.