To solve the equation \( x - 2 = 10 \), we will use the inverse operation.
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The equation is: \[ x - 2 = 10 \]
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To isolate \( x \), we need to eliminate the \(-2\) on the left side. The inverse operation of subtraction is addition. We will add \( 2 \) to both sides of the equation:
\[ x - 2 + 2 = 10 + 2 \]
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Simplifying both sides gives us: \[ x = 12 \]
Thus, the solution to the equation \( x - 2 = 10 \) is: \[ \boxed{12} \]