Equal quantities may be added to both sides of a linear equation.
That both sides of the equation must be equal
That both sides of the equal sign are balanced.
If both sides are equal, it's called an equation. If both sides are NOT equal, it's called an inequality.
It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.
when an equation is balanced, both sides of the equation( products and reactants), equal the same amount.
If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.
Yes, the point is that if two terms (or sides of the equation) are equal, then they remain equal as long as you add or subtract the same amount, to or from both of them. It's very logical.
To check if an equation is balanced, you should check if the number of atoms on both sides are equal or not. If they are not equal, balance them suitably. Next, check the charges on both sides. If charges are unequal, balance them too.
it's meant to make all elements equal on both sides of the equation.