To solve the equation \( 5x - 10 = 180 \), follow these steps:
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Add 10 to both sides of the equation:
\[ 5x - 10 + 10 = 180 + 10 \]
This simplifies to:
\[ 5x = 190 \]
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Now, divide both sides by 5:
\[ x = \frac{190}{5} \]
This simplifies to:
\[ x = 38 \]
So, the solution is \( x = 38 \).