Question

Complete the equation so that it has no solution.

−7x−12= _ x+12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To make the equation have no solution, we need to create a contradiction. One way to do this is to create a situation where the variable disappears, leaving a true statement equaling a false statement.

In this case, if we distribute the negative sign to "-7x" and "-12", the equation becomes:
-7x - 12 = -1x + 12

To eliminate the variable, we can add "7x" to both sides of the equation:
-7x + 7x - 12 = -1x + 7x + 12

This simplifies to:
-12 = 6x + 12

Next, we can subtract "12" from both sides:
-12 - 12 = 6x + 12 - 12

This simplifies to:
-24 = 6x

Finally, we can divide both sides by "6" to solve for "x":
-24/6 = 6x/6

This simplifies to:
-4 = x

So, the complete equation that has no solution is:
-7x - 12 = -x + 12

Answer 2

[AI-generated answer — Step-by-Step Bot]

To make the equation have no solution, we need to eliminate any possibilities of finding a common value for x on both sides of the equation.

Let's start by simplifying the equation:
-7x - 12 = _x + 12

To eliminate the fractions, we can multiply the entire equation by a nonzero number. Let's choose -1:

(-1) * (-7x - 12) = (-1) * (_x + 12)

This simplifies to:
7x + 12 = -x - 12

Now, let's gather similar terms on one side:
7x + x = -12 - 12

This simplifies to:
8x = -24

To solve for x, divide both sides of the equation by 8:
8x/8 = -24/8

This simplifies to:
x = -3

Therefore, to make the equation have no solution, the missing number is -3.