can someone solve for x?

x = 12.5

good luck

(x - 10)/x = 1/5
5x - 50 = x
4x = 50
x = 25/2 or 12 1/2

Answer: x = 25/2 or 12 1/2

Proof:
(25/2 - 10)/(25/2) = 0.2
(25/2 - 20/2)/(25/2) = 0.2
5/2(2/25) = 0.2
5/25 = 0.2
0.2 = 0.2

(x - 10) / x = .20

multiply by x

x(x - 10) / x = .20x
x - 10 = .20x

add like terms

x - .20x = 10
0.8x = 10
x = 10/0.8
x = 12.5

Presentation is unclear.
Is it 0.20 or 20 on RHS ?

Have to GUESS at :-

( x - 10 ) / x = 0.2
x - 10 = 0.2 x
0.8 x = 10
x = 100 / 8
x = 12.5

IF it is 20 on RHS :-
x - 10 = 20 x
- 10 = 19 x
x = - 10 / 19

x = 12.5 or 25/2

(x-10)/x = .20
x-10 = .20x
x = .20x + 10
x - .20x = 10
x(1-.20) = 10
x = 10/(1-.20)
x = 10/.80
X = 12.5

(x - 10)/x = 0.2
x - 10 = 0.2x
x - 0.2x = 10
0.8x = 10
x = 10/0.8
x = 12.5

Multiply both sides by x to give you...
x-10 = .2x
Take away x from both sides to give you...
-10 = -.8x
Divide both sides by -.8
12.5=x
Substitute x to verify using the first equation
(12.5-10)/12.5 = .2
2.5/12.5 = 2.5
.2 = .2
True! x = .12.5

(x-10)/x=.20

Multiply both sides of equation by x:
x - 10 = .20x

Subtract .20x and add 10 to both sides:
.80x = 10

Divide by .80:
x = 10 / .80 = 12.5

Substitute back into original equation to check:
(12.5 - 10) / 12.5 = 2.5 / 12.5 = 0.20