Answer:
Option (2)
Step-by-step explanation:
Option (1).
[tex]2(\frac{2}{5}x+2)=2\frac{2}{5}x+1[/tex]
[tex]\frac{4x}{5}+4=\frac{12}{5}x+1[/tex]
Therefore, both the sides of the expression are not equal.
False.
Option (2).
[tex]2(\frac{2}{5}x+2)=\frac{4}{5}x+4[/tex]
[tex]\frac{4x}{5}+4=\frac{4}{5}x+4[/tex]
True.
Option (3).
[tex]2(\frac{2}{5}x+4)=\frac{4}{5}x+2[/tex]
[tex]\frac{4}{5}x+8=\frac{4}{5}x+2[/tex]
False.
Option (4).
[tex]2(\frac{2}{5}x+4)=2\frac{2}{5}x+8[/tex]
[tex]\frac{4x}{5}+8=\frac{12}{5}x+8[/tex]
Both the sides are not equal.
False.
