Question:-
\(4(x-2)=4x\)
We need to find the value of X.
Solution:-
\(\sf \longmapsto4(x-2)=4x\)
Firstly, Apply Distribution property:-
\(\sf \longmapsto(4)(x)+(4)( - 2)=4x\)
On Simplification:-
\(\sf \longmapsto4x + ( - 8 ) = 4x\)
\(\sf \longmapsto4x - 8 = 4x\)
Then, Subtract(-) 4x from both sides:-
\(\sf \longmapsto4x - 8 - 4x=4x - 4x\)
This equation may be rewritten as:-
\(\sf \longmapsto4x - 4x - 8 = 4x - 4x\)
On Simplification:-
\(\sf \longmapsto0 - 8 = 4x - 4x\)
\(\sf \longmapsto - 8 = 0\)
Add 8 to both sides:-
\(\sf \longmapsto - 8+8=0+8\)
On Simplification:-
As (-) and (+) equals to (-), It would be 8-8.Answer would be 0.
\(\sf \longmapsto0 = 0 + 8\)
\(\sf \longmapsto \: 0 = 8\)
There are no solutions for the equation.
______________________________________
Henceforth, the answer of the question is :-
\(\boxed{\tt \huge No \: Solutions}\)
______________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian