Question

Mario Mario solving the equation shown which value of x will make the equation true?​

Answer 1

ANSWER

C. 25

EXPLANATION

The given equation is

$\frac{1}{5} (x + 20) = - x + 14 + \frac{4}{5} x$

Multiply through by 5:

$5 \times \frac{1}{5} (x + 20) = - x \times 5 + 14 \times 5 + \frac{4}{5} x \times 5$

Simplify:

$x + 20= -5 x +70 + 4x$

Group similar terms:

${x} + 5x - 4x = 70 - 20$

Combine like terms:

$2x = 50$

Divide through by 2

$x = 25$

The correct choice is C.