Complete the equation so that it has no solution.
-7x-12=blank x + 12
-7x-12 = x + 12
-7x - x = 12 + 12
-8x = 24
x = 24 / -8
x = -3
Thus, the equation -7x - 12 = blank x + 12 has no solutions.
To make the equation have no solution, we need to make it impossible for both sides to be equal regardless of the value of x.
First, let's simplify the equation:
-7x - 12 = blank x + 12
Next, let's combine like terms on the left side by adding 12 to both sides:
-7x = blank x + 24
To eliminate the variable x, we need to get rid of the x term on both sides. One way to do this is by combining the terms on the right side with the left side.
Since there is only one x term on the right side, we can write it as 1x:
-7x = 1x + 24
To eliminate the x term, we can add 7x to both sides:
-7x + 7x = 1x + 7x + 24
0 = 8x + 24
Now, we can see that no matter what value x takes, there will always be a solution for the equation. Therefore, we cannot complete the equation in a way that makes it have no solution.