Final answer:
To simplify the given expression, multiply 2/5 by each term inside the parentheses and combine the simplified terms within the parentheses. Then, combine like terms by adding or subtracting them. The final result is 3x + 1.
Step-by-step explanation:
To simplify the given expression, we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right). Let's break down the steps:
Multiply 2/5 by each term inside the parentheses: (2/5)(10x) = 4x and (2/5)(-5/6) = -1/3
Combine the simplified terms within the parentheses: 4x - 1/3
Now, we have: 4x - 1/3 - x + 4/3
Combine like terms by adding or subtracting them: 4x - x = 3x and -1/3 + 4/3 = 3/3 = 1
Final result: 3x + 1