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