Question

50 points What is the value of x?

27(x+4)=−6


x=−35

x=−25

x = 25

x =35

Answer 1

`$x=-(38)/(9)$`

The alternatives are not right.

Just take:

`$27(x+4)=-6 \implies 27 \left(-(38)/(9) +4\right)=-6 \implies 27 \left(-(38)/(9) +(36)/(9) \right)=-6 $`

`$27 \left(-(2)/(9) \right)=-6 \implies -(54)/(9)=-6 \implies -6=-6 $`

Explanation:

`27(x+4)=-6`

`27x+108=-6`

`27x=-6-108`

`27x=-114`

`$x=(-114)/(27) $`

`$x=(-114)/(27) $`

Multiply denominator and numerator by
`$(1)/(3) $`.

`$x=-(38)/(9)$`