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To solve the equation 1/2 (4x - 10) + 5 = x - 11, we can start by simplifying each side step by step.
1/2 (4x - 10) + 5 = x - 11
First, let's distribute the 1/2 to the terms inside the parentheses:
2x - 5 + 5 = x - 11
Next, let's combine like terms on both sides of the equation:
2x = x - 11
Now, let's isolate the variable x by subtracting x from both sides:
2x - x = x - x - 11
This simplifies to:
x = -11
Therefore, the solution to the equation is x = -11.