Question

Complete the equation so that it has no solution.(1 point)
−7x−12= x+12

Answer 1

To make the equation have no solution, we need to eliminate the variable x from one side of the equation.

To do this, we can add 7x to both sides of the equation:
-7x - 12 + 7x = x + 12 + 7x

This simplifies to:
-12 = 8x + 12

Next, we can subtract 12 from both sides of the equation:
-12 - 12 = 8x + 12 - 12

This simplifies to:
-24 = 8x

Now, we divide both sides of the equation by 8:
-24/8 = 8x/8

This simplifies to:
-3 = x

So, the equation -7x - 12 = x + 12 has no solution when x = -3.