To remove the parentheses and distribute the negative sign to both terms in the second expression, we start with the original expression:
\[ (14x + 6) - (8x - 3) \]
Now, distribute the negative sign to the terms in the second expression:
\[ 14x + 6 - 8x + 3 \]
Next, combine the like terms:
\[ (14x - 8x) + (6 + 3) = 6x + 9 \]
So, the linear expression becomes:
\[ 6x + 9 \]