ANSWER
C. 25
EXPLANATION
The given equation is
[tex] \frac{1}{5} (x + 20) = - x + 14 + \frac{4}{5} x[/tex]
Multiply through by 5:
[tex]5 \times \frac{1}{5} (x + 20) = - x \times 5 + 14 \times 5 + \frac{4}{5} x \times 5[/tex]
Simplify:
[tex] x + 20= -5 x +70 + 4x[/tex]
Group similar terms:
[tex] {x} + 5x - 4x = 70 - 20[/tex]
Combine like terms:
[tex]2x = 50[/tex]
Divide through by 2
[tex]x = 25[/tex]
The correct choice is C.
