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The solution of an equation means that the variable value is calculated in such a way that it is called LHS \(=\) RHS. This variable value is considered a solution to the equation.
It is important to remember these points to solve an equation:
  • When the same number is added to either side of the equation, the equation remains unchanged.
  • If each side of the equation subtracts the same number, the equation is unchanged
  • The balanced equation is unchanged whether we multiply or divide the sides of the equation by the same number.
Thus, the balance is disturbed if we don't seek to perform the same mathematical operations on either side of a balance.
These conclusions are valid for variable equations as in each the variable of the equation is only a number.
Apart from these tips, it is important to take into account:
  • The number will change when we move from LHS to RHS or vice versa. That is, we will get (\(+5\)) in RHS if (\(-5\)) is transposed from LHS to RHS, or the other way round.
  • At the same point, it will be (\(-5\)) in RHS when we are transposing (\(+5\)) from LHS to RHS.
  • When (\(×5\)) is transposed to the other side, it becomes (\(/5\)).
  • When (\(/5\)) is transposed to the other side, it becomes (\(×5\)).