add 12(x+4)+14(4x−2) . answer should be in mixed number form.(1 point)
To simplify the expression 12(x+4)+14(4x−2), we can distribute the coefficients to the terms inside the parentheses:
12(x+4) = 12x + 48
14(4x−2) = 56x - 28
Now, we can combine like terms:
12x + 48 + 56x - 28
Combining the x terms gives us:
12x + 56x = 68x
Combining the constant terms gives us:
48 - 28 = 20
Therefore, the simplified expression is 68x + 20.
However, since you specifically mentioned that the answer should be in mixed number form, we need to convert the coefficient of x into a mixed number. Since 68 is larger than 20, we can rewrite it as a mixed number by dividing the coefficient by 20:
68 ÷ 20 = 3 remainder 8
So the mixed number form of the expression is 3 8/20.
Therefore, the answer in mixed number form is 3 8/20.