Y=0.1 (200) + 0.4x/200+x*100

Simplifying

0.1 (200 + - 1x) = 0.4x

(200 * 0.1 + - 1x * 0.1) = 0.4x

(20 + - 0.1x) = 0.4x

Solving

20 + - 0.1x = 0.4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4x' to each side of the equation.

20 + - 0.1x + - 0.4x = 0.4x + - 0.4x

Combine like terms: - 0.1x + - 0.4x = - 0.5x

20 + - 0.5x = 0.4x + - 0.4x

Combine like terms: 0.4x + - 0.4x = 0.0

20 + - 0.5x = 0.0

Add '-20' to each side of the equation.

20 + - 20 + - 0.5x = 0.0 + - 20

Combine like terms: 20 + - 20 = 0

0 + - 0.5x = 0.0 + - 20

-0.5x = 0.0 + - 20

Combine like terms: 0.0 + - 20 = - 20

-0.5x = - 20

Divide each side by '-0.5'.

x = 40

Simplifying

x = 40