ANSWER
[tex]x = - \frac{2}{9} [/tex]
EXPLANATION
The given equation is :
[tex] \frac{2}{5}(x - 2) = 4x[/tex]
We multiply both sides by [tex] \frac{5}{2} [/tex]
[tex] \frac{5}{2} \cdot\frac{2}{5}(x - 2) = 4x \times \frac{5}{2} [/tex]
We simplify to obtain:
[tex]x - 2 = 10x[/tex]
Group similar terms to obtain:
[tex] - 2 = 10x - x[/tex]
Simplify the right hand side.
[tex] - 2 = 9x[/tex]
Divide both sides by 9.
[tex] \frac{ - 2}{9} = \frac{9x}{9} [/tex]
[tex] - \frac{2}{9} = x[/tex]
Or
[tex]x = - \frac{2}{9} [/tex]
The second choice is correct
