0.45(x+60)+0.11(x+80)=-42.6

Solution for 0.45(x+60)+0.11(x+80)=-42.6 equation:

Simplifying
0.45(x + 60) + 0.11(x + 80) = -42.6

Reorder the terms:
0.45(60 + x) + 0.11(x + 80) = -42.6
(60 * 0.45 + x * 0.45) + 0.11(x + 80) = -42.6
(27 + 0.45x) + 0.11(x + 80) = -42.6

Reorder the terms:
27 + 0.45x + 0.11(80 + x) = -42.6
27 + 0.45x + (80 * 0.11 + x * 0.11) = -42.6
27 + 0.45x + (8.8 + 0.11x) = -42.6

Reorder the terms:
27 + 8.8 + 0.45x + 0.11x = -42.6

Combine like terms: 27 + 8.8 = 35.8
35.8 + 0.45x + 0.11x = -42.6

Combine like terms: 0.45x + 0.11x = 0.56x
35.8 + 0.56x = -42.6

Solving
35.8 + 0.56x = -42.6

Solving for variable 'x'.

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

Add '-35.8' to each side of the equation.
35.8 + -35.8 + 0.56x = -42.6 + -35.8

Combine like terms: 35.8 + -35.8 = 0.0
0.0 + 0.56x = -42.6 + -35.8
0.56x = -42.6 + -35.8

Combine like terms: -42.6 + -35.8 = -78.4
0.56x = -78.4

Divide each side by '0.56'.
x = -140

Simplifying
x = -140