Find the solution to the equation $2x = 50$ and specify the Euclid's axiom used in it.

(A) Given the equation: $2x = 50$.
To solve for $x$,we divide both sides by $2$.
According to Euclid's Axiom $(7)$,which states: 'Things which are halves of the same things are equal to one another.'
Alternatively,applying the axiom: 'If equals are divided by equals,the remainders are equal.'
Thus,$x = 50 / 2 = 25$.
The solution is $x = 25$ and the axiom used is Euclid's Axiom $(7)$.