To create an equation with no solution, we need to create an equation where both sides are not equal.
If we distribute the negative to all terms in the left side of the equation, we get: -7x - 12 = -x - 12.
To isolate the variables x on one side of the equation, we can subtract -x from both sides, resulting in: -7x - 12 + x = -12.
This simplifies to: -6x - 12 = -12.
Now if we add 12 to both sides of the equation: -6x - 12 + 12 = -12 + 12.
This simplifies to: -6x = 0.
Finally, we divide both sides of the equation by -6 to solve for x: -6x/(-6) = 0/(-6).
This simplifies to: x = 0.
Therefore, the equation -7x - 12 = x + 12 has a unique solution of x = 0 and cannot be modified to have no solution.
Complete the equation so that it has no solution.(1 point)−7x−12=____ x+12
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