Complete the equation so that it has no solution.
−7x−12= __x+12
To make the equation have no solution, we need to eliminate variables on both sides of the equation. In this case, we can do that by adding 7x to both sides of the equation:
−7x−12 + 7x = x + 12 + 7x
Simplifying both sides gives us:
-12 = 8x + 12
To simplify further, we subtract 12 from both sides:
-12 - 12 = 8x + 12 - 12
-24 = 8x
Finally, we divide both sides by 8:
-24/8 = 8x/8
-3 = x
So, the equation -7x - 12 = x + 12 has a solution of x = -3, not no solution.