Let's first simplify both sides of the equation:

3 - $2x-5$3 = 17 - 5$x-2$

Distribute the -3 on the left side:

3 - 6x + 15 = 17 - 5x + 10

Combine like terms:

-6x + 18 = 27 - 5x

Now, let's isolate the variable on one side and the constants on the other side. Let's move all terms with x to one side:

-6x + 18 = 27 - 5x

Add 6x to both sides:

18 = 27 + x

Subtract 27 from both sides:

-9 = x

So, the solution to the equation is x = -9.