−3x+7=−8x+47

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

1. First, let's move all the x terms to one side of the equation and the constants to the other side. We can do this by adding 3x to both sides and subtracting 47 from both sides:

   -3x + 3x + 7 - 47 = -8x + 3x + 47 - 47

   This simplifies to:

   0 - 40 = -5x + 0

   Or:

   -40 = -5x

2. Next, let's solve for x by dividing both sides by -5:

   -40 / -5 = -5x / -5

   This simplifies to:

   x = 8

So, the solution to the equation -3x + 7 = -8x + 47 is x = 8.