4x−7=8x+33

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

1. First, we need to get all the x terms on one side of the equation and the constants on the other side. We can do this by subtracting 4x from both sides and subtracting 33 from both sides. This gives us:

   -7 - 33 = 8x - 4x

2. Simplify both sides of the equation:

   -40 = 4x

3. Finally, to solve for x, we divide both sides of the equation by 4:

   x = -40 / 4

4. Simplify to get the final answer:

   x = -10

So, the solution to the equation 4x−7=8x+33 is x = -10.