To solve the equation 4-3x=2x-6, we can start by combining like terms.

First, let's move the 2x term to the left side of the equation by subtracting 2x from both sides:

4-3x-2x=2x-6-2x

Simplifying this gives:

4-5x=-6

Next, let's move the constant term to the right side of the equation by adding 6 to both sides:

4-5x+6=-6+6

Simplifying this gives:

10-5x=0

Now, let's isolate the variable term by subtracting 10 from both sides:

10-5x-10=0-10

Simplifying this gives:

-5x=-10

Finally, let's solve for x by dividing both sides by -5:

(-5x)/-5=(-10)/-5

Simplifying this gives:

x=2

Therefore, the solution to the equation 4-3x=2x-6 is x=2.