.39(x+60)+.38(x+50)=-42.3

Solution for .39(x+60)+.38(x+50)=-42.3 equation:

Simplifying
0.39(x + 60) + 0.38(x + 50) = -42.3

Reorder the terms:
0.39(60 + x) + 0.38(x + 50) = -42.3
(60 * 0.39 + x * 0.39) + 0.38(x + 50) = -42.3
(23.4 + 0.39x) + 0.38(x + 50) = -42.3

Reorder the terms:
23.4 + 0.39x + 0.38(50 + x) = -42.3
23.4 + 0.39x + (50 * 0.38 + x * 0.38) = -42.3
23.4 + 0.39x + (19 + 0.38x) = -42.3

Reorder the terms:
23.4 + 19 + 0.39x + 0.38x = -42.3

Combine like terms: 23.4 + 19 = 42.4
42.4 + 0.39x + 0.38x = -42.3

Combine like terms: 0.39x + 0.38x = 0.77x
42.4 + 0.77x = -42.3

Solving
42.4 + 0.77x = -42.3

Solving for variable 'x'.

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

Add '-42.4' to each side of the equation.
42.4 + -42.4 + 0.77x = -42.3 + -42.4

Combine like terms: 42.4 + -42.4 = 0.0
0.0 + 0.77x = -42.3 + -42.4
0.77x = -42.3 + -42.4

Combine like terms: -42.3 + -42.4 = -84.7
0.77x = -84.7

Divide each side by '0.77'.
x = -110

Simplifying
x = -110