0.11x+0.12(900-x)=100

Solution for 0.11x+0.12(900-x)=100 equation:

Simplifying
0.11x + 0.12(900 + -1x) = 100
0.11x + (900 * 0.12 + -1x * 0.12) = 100
0.11x + (108 + -0.12x) = 100

Reorder the terms:
108 + 0.11x + -0.12x = 100

Combine like terms: 0.11x + -0.12x = -0.01x
108 + -0.01x = 100

Solving
108 + -0.01x = 100

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + -108 + -0.01x = 100 + -108

Combine like terms: 108 + -108 = 0
0 + -0.01x = 100 + -108
-0.01x = 100 + -108

Combine like terms: 100 + -108 = -8
-0.01x = -8

Divide each side by '-0.01'.
x = 800

Simplifying
x = 800