Feeling the exercise

Been lifting for about a month now, and I have realized when I do exercises I feel the exercise a lot more in the right side of my body then my left. I'm using good slow form. I'm almost certain that I'm not using to much weight. Also I am more sore in my right side than my left the day after. Even if I'm doing exercises where I lift the weight individually with that side. Say like Bicep curls with dumbells, or dumbell shoulder presses. Was wondering if this is normal, or if I just have to focus more when I'm doing the lift. Or if anyone has experienced this and has any tips or advice. Thanks.