Answer:
Option 4 - x equals two fifths
Step-by-step explanation:
Given : Expression 'two thirds plus one third times x equals two times x'.
To find : Solve for x?
Solution :
Writing expression in numeric form,
Two thirds plus one third times x equals two times x,
i.e. [tex]\frac{2}{3}+\frac{1}{3}x=2x[/tex]
Solving equation,
[tex]\frac{2}{3}=2x-\frac{1}{3}x[/tex]
[tex]\frac{2}{3}=\frac{6x-x}{3}[/tex]
[tex]\frac{2}{3}=\frac{5x}{3}[/tex]
[tex]x=\frac{2\times 3}{3\times 5}[/tex]
[tex]x=\frac{2}{5}[/tex]
So, x equals to two fifths.
Therefore, Option 4 is correct.
