Pull dynamic rows from several sheets into one

I am creating a construction worksheet for my crew for quotes. I have several tabs that hold items for different parts of the construction process (Rough, Electrical, Plumbing, HVAC, Walls, etc etc etc) What I want to happen is whenever a quantity is entered for a item information for the row will transfer into the quote sheet for each tab all displaying in the same quote sheet.

For example the quantity goes into Column E, so a number in the E column will result in a output of E F - B - L - M - N on the quote sheet for the row the number is in.

Giving an example display of:
1 Ea Unit heater, gas, 125 MBtu $170.00 $1,025.00 $1,195.00

I attached an image to show the screen of one of the tabs

Any help is much appreciated