Final answer:
After substituting x=1 into the given equation and simplifying, we find that the missing constant '?' should be 12 to satisfy the equation. However, this is not among the provided options, indicating a possible error in the question choices.
Step-by-step explanation:
To find which constant can replace the blank to make x equal to 1 in the equation 2(3x+1)=?-4x, we need to substitute x=1 into the equation and solve for the missing constant.
Start by plugging in x=1:
2(3(1)+1) = ? - 4(1)
That simplifies to:
2(4) = ? - 4
Which further simplifies to:
8 = ? - 4
To find the value of '?', add 4 to both sides of the equation:
8 + 4 = ?
Thus, ? = 12. However, none of the options A) -5, B) -7, C) 8, D) 10 match 12. Therefore, there may be an error in the provided options.