Question

Please look for the question in the picture.

Answer 1

Hey There!

Question:-

`\sf \: - 7x+8+11x= - 42`

We need to find the value of x.

Solution:-

`\sf \longmapsto - 7x + 8 + 11x = - 42`

Combine Like terms:-

`\sf \longmapsto \: ( - 7x+11x)+(8)= - 42`

On Simplification :-

`\sf \longmapsto \: 4x +8 = - 42`

Subtract 8 from both sides:-

`\sf \longmapsto \: 4x+8 - 8= - 42 - 8`

On Simplification:-

`\sf \longmapsto \: 4x + 0 = - 42 - 8`

Note that (-) and (-) equals to (+).

`\sf \longmapsto \: 4x = - 50`

Divide both sides by 4:-

`\sf \longmapsto \: (4x)/(4) = ( - 50)/(4)`

On Simplification:-

`\sf \longmapsto \: ( \cancel2x)/( \cancel2) = \frac{ \cancel{- 50}}{ \cancel4}`

`\sf \longmapsto \: x = ( - 25)/(2)`

Or in Decimal :-

`\sf \longmapsto \: x = -12.5`

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Henceforth, the value of x is :-

`\boxed{\huge \red{x = - (25)/(2)}}`

In Decimal:-

`\boxed{\huge\red{ x = -12.5}}`

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Please let me know if you have any questions.

~MisterBrian

Answer 2

-12.5

Explanation:

-7x+8+11x=-42

-7x+11x=-42-8

4x=-50

x=-12.5

Hope this helped! :)