−11x−4=−6x+31

Sure, let's solve the equation step by step:

1. First, let's get all the x terms on one side of the equation and the numbers on the other side. We can do this by adding 6x to both sides and adding 4 to both sides. This gives us:

   -11x + 6x = 31 + 4

2. Simplify both sides:

   -5x = 35

3. Now, to solve for x, we divide both sides by -5:

   x = 35 / -5

4. Simplify to get the final answer:

   x = -7

So, the solution to the equation -11x - 4 = -6x + 31 is x = -7.