0.37(x+55)+0.47(x+45)=-42.5

Solution for 0.37(x+55)+0.47(x+45)=-42.5 equation:

Simplifying
0.37(x + 55) + 0.47(x + 45) = -42.5

Reorder the terms:
0.37(55 + x) + 0.47(x + 45) = -42.5
(55 * 0.37 + x * 0.37) + 0.47(x + 45) = -42.5
(20.35 + 0.37x) + 0.47(x + 45) = -42.5

Reorder the terms:
20.35 + 0.37x + 0.47(45 + x) = -42.5
20.35 + 0.37x + (45 * 0.47 + x * 0.47) = -42.5
20.35 + 0.37x + (21.15 + 0.47x) = -42.5

Reorder the terms:
20.35 + 21.15 + 0.37x + 0.47x = -42.5

Combine like terms: 20.35 + 21.15 = 41.5
41.5 + 0.37x + 0.47x = -42.5

Combine like terms: 0.37x + 0.47x = 0.84x
41.5 + 0.84x = -42.5

Solving
41.5 + 0.84x = -42.5

Solving for variable 'x'.

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

Add '-41.5' to each side of the equation.
41.5 + -41.5 + 0.84x = -42.5 + -41.5

Combine like terms: 41.5 + -41.5 = 0.0
0.0 + 0.84x = -42.5 + -41.5
0.84x = -42.5 + -41.5

Combine like terms: -42.5 + -41.5 = -84
0.84x = -84

Divide each side by '0.84'.
x = -100

Simplifying
x = -100