Question

Solve for the variable: 4(x-2)=4x

Answer 1

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