Answer:the simplified form of the expression (10x-5/6)-x+4/3 is 9x - 1.
Step-by-step explanation: To simplify the expression (10x-5/6)-x+4/3, you can start by applying the order of operations, which dictates that you should perform operations within parentheses or brackets first.
The expression (10x-5/6) can be simplified as follows:
(10x-5/6) = 10x - (5/6)
= 10x - (5*6)/6
= 10x - 5
= 10x - 5
Next, you can simplify the remaining terms of the expression:
(10x-5) - x + 4/3
= (10x-5) - (x3)/3 + 4/3
= (10x-5) - x + (43)/3
= (10x-5) - x + 4
= 10x - 5 - x + 4
= 10x - x - 5 + 4
= 9x - 1
Therefore, the simplified form of the expression (10x-5/6)-x+4/3 is 9x - 1.