Use algebra tiles to model and solve x+5=3x-1

The question asks that you use algebra tiles to model and solve the equation . I set up the scenario digitally (see attached image).

Whatever blocks you have on both sides you can cancel. So we cancel one -block, and to take away the -block, we balance the equation by putting a -block on the other side. We are left with 2 -blocks equal to 6 -blocks. This is equivalent to 1 -bock equal to 3  blocks, so .

Algebraically, you can write 
.
I personally find the latter approach much easier, but I think the tiles are a nice way to conceptualize what you're doing.

Value for line ac: (3x+6)+(2x+14)= 5x+20