if we multiply or divide both sides of an equation by the same number, the equation remains undisturbed why - Maths - Simple Equations

Question

if we multiply or divide both sides of an equation by the same
number, the equation remains undisturbed why? please give an
example

Ayush Jha · Accepted Answer

If we multiply, divide, add or subtract a certain quantity from
both the sides of a equation than the value of the equation remains
unaltered as the terms we have introduced gets cancelled away in
the actual calculation
For example-
if
3x = 27
Now multiply both sides with 2,
6x = 54
x = 9
The value of x remains unaltered irrespective the term we
introduce in the equation

if we multiply or divide both sides of an equation by the same number, the equation remains undisturbed. why? please give an example.......