Solving the Equation: (x-4) + (x+9) = 2x
This article will guide you through the process of solving the equation (x-4) + (x+9) = 2x. We will break down each step to make it easy to understand.
Simplifying the Equation
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Remove the parentheses: Since we are adding the expressions inside the parentheses, they can be removed without changing the equation. This gives us: x - 4 + x + 9 = 2x
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Combine like terms: Combine the 'x' terms and the constant terms: (x + x) + (-4 + 9) = 2x 2x + 5 = 2x
Solving for x
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Subtract 2x from both sides: This will isolate the constant term on the left side of the equation. 2x + 5 - 2x = 2x - 2x 5 = 0
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Analyze the result: The equation simplifies to 5 = 0. This is a contradiction, as 5 is not equal to 0.
Conclusion
The equation (x-4) + (x+9) = 2x has no solution. This means there is no value of 'x' that will make the equation true.