Answer:
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
Explanation: