Question

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

Answer 1

C. 25

Step-by-step explanation

The given equation is

`(1)/(5) (x + 20) = - x + 14 + (4)/(5) x`

Multiply through by 5:

`5 * (1)/(5) (x + 20) = - x * 5 + 14 * 5 + (4)/(5) x * 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.