Answer:
Options (1) and (4)
Step-by-step explanation:
Given expression in the question is,
[tex]\frac{1}{5}+\frac{2}{3}|2 - x|=\frac{4}{15}[/tex]
By distribution property,
[tex]\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}[/tex]
Subtract [tex]\frac{1}{5}[/tex] from both the sides of the equation,
[tex]\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|-\frac{1}{5}=\frac{4}{15}-\frac{1}{5}[/tex]
[tex]|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{1}{5}[/tex]
[tex]|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{3}{15}[/tex]
[tex]\frac{2}{3}|2-x|=\frac{1}{15}[/tex]
Therefore, Options (1) and (4) will be answer.
