In a contest where both teams desperately needed three points, the Bees started brightly.
In the first minute, Ide picked the ball up from a John Mousinho pass. He drove towards goal and fired in from 25 yards just missing the left hand post.
On eight minutes O's loanee Joe Keith came within inches of putting one over his former club. Twenty yards out his beautifully weighted free kick beat the wall and goalkeeper Glyn Garner, but crashed on to the bar.
On 26 minutes Orient broke the deadlock in an end-to-end game, non-goal scoring striker Jabo Ibehre turned Aussie Adam Griffiths and fired low into the bottom left corner.
Ten minutes later, with the Bees on the ropes, Ibehre slipped Griffith again but fired into the side-netting. With a little more composure, he could have ended the contest.
Brentford did not stop fighting and should have equalised on the stroke of half time.
Kevin O'Connor split the Orient defence and put Calum Willock clean through, but he fired straight at Garner when a little more guile would have made all the difference.
The second half was equally enthralling as, on 61 minutes, Nathan Abbey produced a stunning save from a Shane Tudor drive when unsighted.
Seven minutes later Ide dragged Brentford back into the game, having already been thwarted from three yards by Garner. From the resultant corner, he buried Paul Brooker's cross into the net from the same distance.
Both sides appeared to have settled for a point until Paul Connor put Orient in front again with six minutes left on the clock. The former Swansea player calmly guided the ball past Abbey from 12 yards out, having found himself in time and space from a Matt Lockwood free kick.
However, the game wasn't finished there. With the referee about to blow his whistle, Ide again finished from inside the box from an O'Connor cross to salvage a point for the Bees.