The phrase "balance the weight" is correct and usable in written English.
It can be used to refer to the action of evenly distributing or adjusting the weight of an object or system in order to maintain stability or equilibrium. Example: "To safely transport the heavy boxes, we must carefully balance the weight in the back of the truck to avoid tipping over."
Lift to the hip, stop, balance the weight for the dangerous walk home.
How to balance the weight of Nina's lovelife with other emotional stakes, like family and friendship?
All these devices employed counterweights to balance the weight of the car, requiring only enough power to raise the load.
To balance the weight of the V-12 up front, the 6-speed transmission is mounted between the rear wheels.
You need to be able to balance the weight of a bird on your arm, so most centres only allow children aged 12 and upwards.
To work their lower abdominals, participants lift their legs, bend their knees, balance the weight on their shins and extend their legs without dropping the weight.
β ∈ ℝ is a real positive weighting parameter to balance the weights of rank and sparsity, and d is the undersampled k − t data.
The medium and the wardrobe change, but the essential dynamic stays the same: powerful, sometimes villainous, figures balancing the weight of self-interest, dignity, and mutual suspicion.
She envisages arriving at an equilibrium to compare with water's, balancing "the weight of hope against the light of patience".
Their watery cradle — the ballast — plays a central role in balancing the weight of giant cargo ships that regularly shuttle back and forth between the world's oceans.
Atmospheric pressure can be measured with a mercury barometer (hence the commonly used synonym barometric pressure), which indicates the height of a column of mercury that exactly balances the weight of the column of atmosphere over the barometer.
