Thats mathematic is ; ( thick ones are known)
load cell1 value=(object's weight) x distance1
load cell2 value=(object's weight) x distance2
distance2 - distance of load cells from each other = distance1
Your 2 load cell mechanism is the way to go. But your equations are not correct. Even dimensionnaly : "load cell1 value[/b]=(object's weight) x distance1". The left member of the equation is a force, and the right a force * a distance. The multiplicative term have to be adimensional, you have to have a force on both sides.
Correct equations from the lever theory : With G = Object center of gravity. L1 = Load cell 1 (left). L2 = Load cell 2 (right). Positive sign = Force to the top.
Force on the left load cell = Object weight * GL2 / L1L2
Force on the right load cell = - Object weight * GL1 / L1L2
And to check, F load cell left + F load cell right = Object weight. Which is correct.