To solve for x, we can rewrite the equation as:

[tex]x = (5 \div 7) \times 0.2[/tex]

Now, we can simplify the right side:

[tex]x = \frac{5}{7} \times 0.2[/tex]

[tex]x = \frac{1}{7} \times 1[/tex]

[tex]x = \frac{1}{7}[/tex]

So, [tex]x = \frac{1}{7}[/tex]