Final answer:
To simplify the expression, distribute the number outside the parentheses, combine like terms, and simplify further.
Step-by-step explanation:
To simplify the expression 4+8(3x−2)−7x, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, distribute the 8 to the terms inside the parentheses:
4 + 8(3x − 2) − 7x = 4 + 24x - 16 - 7x
Next, combine like terms (terms with the same variable and exponent):
4 + 24x - 16 - 7x = (4 - 16) + (24x - 7x)
Simplify further:
(4 - 16) + (24x - 7x) = -12 + 17x
Therefore, the simplified expression is -12 + 17x.