Question

`(x)/(5)` + 7 = -3

Answer 1

`\huge{\fbox{\sf{ x = -50}}}`

Explanation:

`(x)/(5) + 7 = -3`

Take the L.C.M of 5 and 1 ( i.e 5 )

⇒
`(x+7 * 5)/(5) = -3`

⇒
`(x+35)/(5) = -3`

Do cross multiplication

⇒
`x + 35 = -3 * 5`

⇒
`x + 35 = -15`

Move 35 to right hand side and change its sign

⇒
`x = -15 - 35`

Remember : The negative integers are always added but posses the negative ( - ) sign.

⇒
`x = -50`

The value of x is
`\boxed{\sf{ -50}}`

Hope I helped!

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`\text{ TheAnimeGirl}`

Answer 2

Here's a linear equation in variable x and we have to compute the value of x for the above equation.

Given equation:

• 
  `\large{ \rm{ (x)/(5) + 7 = - 3}}`

So, Let's start solving the above equation:

Move 7 to the Right hand side,

Remember: Inverse of addition is subtraction

`\sf{ (x)/(5) = - 3 - 7}`

`\sf{ (x)/(5) = - 10}`

Now multiplying 5 in other side because again the inverse of division is multiplication,

`\sf{ x = - 10 * 5}`

`\sf{x = \boxed{ \red{ - 50}}}`

And the required value for x is -50. So, we are done....

Carry On Learning !