Answer:
[tex]x=-3\frac{1}{9}[/tex]
Step-by-step explanation:
Given expression:
[tex]-(x-7)+\frac{5}{3}=2(x+9)[/tex]
To solve for [tex]x[/tex]
Solution:
Using distribution:
[tex]-x-(-7)+\frac{5}{3}=2x+2(9)[/tex]
[tex]-x+7+\frac{5}{3}=2x+18[/tex]
Adding [tex]x[/tex] to both sides.
[tex]-x+7+\frac{5}{3}+x=2x+18+x[/tex]
[tex]7+\frac{5}{3}=3x+18[/tex]
Subtracting 18 from both sides.
[tex]7+\frac{5}{3}-18=3x+18-18[/tex]
[tex]\frac{5}{3}-11=3x[/tex]
Multiplying each term with 3 to remove fractions.
[tex]3\times\frac{5}{3}-3(11)=3\times 3x[/tex]
[tex]5-33=9x[/tex]
[tex]-28=9x[/tex]
Dividing both sides by 9.
[tex]\frac{-28}{9}=\frac{9x}{9}[/tex]
∴ [tex]x=-3\frac{1}{9}[/tex] (Answer)
