Let \( x \) represent the number of miles Clara biked last week. According to the problem, the equation we can set up is:
\[ 112 = 2x - 20 \]
To solve for \( x \), we first add 20 to both sides:
\[ 112 + 20 = 2x \]
This simplifies to:
\[ 132 = 2x \]
Next, we divide both sides by 2:
\[ x = \frac{132}{2} \]
Calculating this gives:
\[ x = 66 \]
Thus, Clara biked 66 miles last week.