Answer:
[tex]$x=-\frac{38}{9}$[/tex]
The alternatives are not right.
Just take:
[tex]$27(x+4)=-6 \implies 27 \left(-\frac{38}{9} +4\right)=-6 \implies 27 \left(-\frac{38}{9} +\frac{36}{9} \right)=-6 $[/tex]
[tex]$27 \left(-\frac{2}{9} \right)=-6 \implies -\frac{54}{9}=-6 \implies -6=-6 $[/tex]
Step-by-step explanation:
[tex]27(x+4)=-6[/tex]
[tex]27x+108=-6[/tex]
[tex]27x=-6-108[/tex]
[tex]27x=-114[/tex]
[tex]$x=\frac{-114}{27} $[/tex]
[tex]$x=\frac{-114}{27} $[/tex]
Multiply denominator and numerator by [tex]$\frac{1}{3} $[/tex].
[tex]$x=-\frac{38}{9}$[/tex]
