Answer:
[tex]x=-\frac{11}{18}[/tex]
Step-by-step explanation:
[tex]-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x[/tex]
Solve parenthesis first
[tex]-2\frac{5}{6} + 1/3[/tex]
Find a common denominator.
The common denominator would be 6.
Because the first expression already has a denominator of 6 it stays the same.
[tex]\frac{1}{3} = \frac{2}{6}[/tex]
[tex]-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}[/tex]
Put that into the original equation.
[tex]-1\frac{7}{9}=(-1\frac{1}{6} )x[/tex]
Isolate the x. Add [tex]1\frac{1}{6}[/tex] to each side.
[tex]-1\frac{7}{9}+ 1\frac{1}{6}=x[/tex]
Find a common denominator.
we can use 18 as the common denominator.
[tex]-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x[/tex]
Add.
[tex]-\frac{11}{18} =x[/tex]
We cannot simplify so our answer stays the same.
