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Solving the Equation: (x+5)+(x-9) = x+2
This article will guide you through the process of solving the equation (x+5)+(x-9) = x+2.
1. Simplifying the Equation
The first step is to simplify the equation by combining like terms on the left side:
- (x+5)+(x-9) = x+2
- 2x - 4 = x + 2
2. Isolate the Variable
To solve for 'x', we need to isolate it on one side of the equation. We can do this by subtracting 'x' from both sides:
- 2x - 4 - x = x + 2 - x
- x - 4 = 2
3. Solve for x
Finally, we can isolate 'x' by adding 4 to both sides of the equation:
- x - 4 + 4 = 2 + 4
- x = 6
Solution
Therefore, the solution to the equation (x+5)+(x-9) = x+2 is x = 6.
Verification
We can verify our solution by substituting 'x = 6' back into the original equation:
- (6 + 5) + (6 - 9) = 6 + 2
- 11 - 3 = 8
- 8 = 8
Since the equation holds true, we have confirmed that our solution x = 6 is correct.