Why is it necessary to apply inverse operations on both sides of the equals sign when solving an equation?

It is necessary to apply inverse operation on both sides of the equal sign when solving equations in order to maintain the balance of the equality sign.
An inverse operation are two operations which undo each other, thus, inverse operations on both sides of an equation helps to keep the equations equal.

step-by-step explanation:

when the line is solid:

it's either < or >

when the line is dashed:

it's either < or >

this > inequality sign means:

greater thanmore thanaboveexceeds

this < inequality sign means:

less thanfewer thanbelow

this > inequality sign means:

greater than/equal tono less thanat leastminimum of

this < inequality sign means:

less than/equal tono more thanat mostmaximum of

about the problem:

since the line is solid, that means it's either < or >

srry i'm not done ! i'll