Question

8x + 1 = -8 - X
Answer? Please

Answer 1

`\boxed{\sf x = - 1}`

Explanation:

`\sf Solve \: for \: x: \\ \sf \implies 8x + 1 = - 8 - x \\ \\ \sf Add \: x \: to \: both \: sides: \\ \sf \implies 8x + x + 1 = - 8 + (x - x ) \\ \\ \sf x - x = 0 : \\ \sf \implies 8x +x + 1 = - 8 \\ \\ \sf 8x + x = 9x : \\ \sf \implies 9x + 1 = - 8 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies 9x + (1 - 1 )= - 8 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies 9x = - 8 - 1 \\ \\ \sf - 8 - 1 : \\ \sf \implies 9x = - 9 \\ \\ \sf Divide \: both \: sides \: of \: 9 x = 9 \: by \: 9: \\ \sf \implies (9x)/(9) = - (9)/(9) \\ \\ \sf (9)/(9) = 1 : \\ \sf \implies x = - 1`

Answer 2

`x = -1`

Explanation:

-Solve for
`x` :

`8x + 1 = -8 - x`

-Add both side by
`x` :

`8x + 1 + x = -8 - x + x`

`9x + 1 = -8`

-Subtract both sides by
`1` :

`9x + 1 - 1 = -8 - 1`

`9x = -9`

-Divide both sides by
`9` :

`(9x)/(9) = (-9)/(9)`

`x = -1`

So, the value of
`x` is
`-1`.