Final answer:
To simplify the expression (1)/(6)(48x-30)+(8x+11), distribute the (1)/(6) to get (2x)/(24) - (5)/(6). Simplify each term to get the final expression (x)/(12) + (8x+11) + (5)/(6).
Step-by-step explanation:
To simplify the expression (1)/(6)(48x-30)+(8x+11), we can start by applying the distributive property to the term (1)/(6)(48x-30). This gives us (1)/(6)(48x) - (1)/(6)(30).
Next, we can simplify each of these terms. (1)/(6)(48x) simplifies to (2x)/(24), which further simplifies to (x)/(12).
Similarly, (1)/(6)(30) simplifies to (5)/(6).
Putting it all together, the simplified expression becomes (x)/(12) + (8x+11) + (5)/(6).