0.45x+0.40(270-x)=111.25

Solution for 0.45x+0.40(270-x)=111.25 equation:

Simplifying
0.45x + 0.40(270 + -1x) = 111.25
0.45x + (270 * 0.40 + -1x * 0.40) = 111.25
0.45x + (108 + -0.4x) = 111.25

Reorder the terms:
108 + 0.45x + -0.4x = 111.25

Combine like terms: 0.45x + -0.4x = 0.05x
108 + 0.05x = 111.25

Solving
108 + 0.05x = 111.25

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 + 0.05x = 111.25 + -108

Combine like terms: 108 + -108 = 0
0 + 0.05x = 111.25 + -108
0.05x = 111.25 + -108

Combine like terms: 111.25 + -108 = 3.25
0.05x = 3.25

Divide each side by '0.05'.
x = 65

Simplifying
x = 65