Determine the missing value that would make this equation have zero solutions

Question

2(6x+7)=3x+?x+14

Answer 1

To have zero solutions, the equation must be inconsistent, which means the left side must not equal the right side for any value of x.

We can start by simplifying both sides of the equation:
2(6x + 7) = 3x + ?x + 14
12x + 14 = 3x + ?x + 14

Next, we can combine like terms on the right side:
12x + 14 = (3 + ?)x + 14

To have zero solutions, the coefficient of x on the left side (12) must not equal the coefficient of x on the right side (3 + ?).

Therefore, the missing value that would make this equation have zero solutions is 9.