Let's solve for x by first distributing the negative sign on (x-3) on the left side:

4 - x + 3 = 3x - 7

This simplifies to:

7 - x = 3x - 7

Now, let's add x to both sides to simplify:

7 = 4x - 7

Add 7 to both sides:

14 = 4x

Now, divide by 4 on both sides to solve for x:

x = 3.5

Therefore, x = 3.5 is the solution to the equation 4-(x-3)=3x-7.