0.39(x+50)+0.36(x+45)=53.55

Solution for 0.39(x+50)+0.36(x+45)=53.55 equation:

Simplifying
0.39(x + 50) + 0.36(x + 45) = 53.55

Reorder the terms:
0.39(50 + x) + 0.36(x + 45) = 53.55
(50 * 0.39 + x * 0.39) + 0.36(x + 45) = 53.55
(19.5 + 0.39x) + 0.36(x + 45) = 53.55

Reorder the terms:
19.5 + 0.39x + 0.36(45 + x) = 53.55
19.5 + 0.39x + (45 * 0.36 + x * 0.36) = 53.55
19.5 + 0.39x + (16.2 + 0.36x) = 53.55

Reorder the terms:
19.5 + 16.2 + 0.39x + 0.36x = 53.55

Combine like terms: 19.5 + 16.2 = 35.7
35.7 + 0.39x + 0.36x = 53.55

Combine like terms: 0.39x + 0.36x = 0.75x
35.7 + 0.75x = 53.55

Solving
35.7 + 0.75x = 53.55

Solving for variable 'x'.

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

Add '-35.7' to each side of the equation.
35.7 + -35.7 + 0.75x = 53.55 + -35.7

Combine like terms: 35.7 + -35.7 = 0.0
0.0 + 0.75x = 53.55 + -35.7
0.75x = 53.55 + -35.7

Combine like terms: 53.55 + -35.7 = 17.85
0.75x = 17.85

Divide each side by '0.75'.
x = 23.8

Simplifying
x = 23.8