Verified Answer :

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.

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Henceforth, the answer of the question is :-

\(\boxed{\tt \huge No \: Solutions}\)

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I hope this helps!

Please let me know if you have any questions.

~MisterBrian