A good way to equal arm strength?

[JConrad]

My left arm is weaker than my right when I do bicep work and tricep isolation. I'm thinking that a good way to solve this would be to only do as many reps/sets as my left arm can manage and do the same reps/sets with the same weight for my right arm. This will mean that my right arm will find the workout quite easy and won't get the same stimulation, but in time both my arms will be the same strength and I can then progress from that point with equal arms.
Is this a good way go about it? Or would i be better off using less weight for my left arm, which doesn't sound ideal because my left arm will stay weaker.
I ask because today was back/bicep day and when I did bicep curls I did great with my right arm but my left arm couldn't complete the 2nd and 3rd sets so for my left arm I'm obviously using too much weight.
Thanks.