what is 3(x-4)-2(8-x

To simplify the expression 3(x-4)-2(8-x), you can follow these steps:

Step 1: Distribute the coefficients to each term within the parentheses.
3(x-4) becomes 3x - 12 (All terms inside the parentheses are multiplied by 3)
-2(8-x) becomes -16 + 2x (All terms inside the parentheses are multiplied by -2)

Step 2: Combine like terms.
3x - 12 - 16 + 2x

Step 3: Add or subtract the coefficients of the like terms.
(3x + 2x) - (12 + 16)
5x - 28

Therefore, 3(x-4)-2(8-x) simplifies to 5x - 28.