0.26(x+40)+0.37(x+20)=-20

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Solution for 0.26(x+40)+0.37(x+20)=-20 equation: 


Simplifying
0.26(x + 40) + 0.37(x + 20) = -20

Reorder the terms:
0.26(40 + x) + 0.37(x + 20) = -20
(40 * 0.26 + x * 0.26) + 0.37(x + 20) = -20
(10.4 + 0.26x) + 0.37(x + 20) = -20

Reorder the terms:
10.4 + 0.26x + 0.37(20 + x) = -20
10.4 + 0.26x + (20 * 0.37 + x * 0.37) = -20
10.4 + 0.26x + (7.4 + 0.37x) = -20

Reorder the terms:
10.4 + 7.4 + 0.26x + 0.37x = -20

Combine like terms: 10.4 + 7.4 = 17.8
17.8 + 0.26x + 0.37x = -20

Combine like terms: 0.26x + 0.37x = 0.63x
17.8 + 0.63x = -20

Solving
17.8 + 0.63x = -20

Solving for variable 'x'.

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

Add '-17.8' to each side of the equation.
17.8 + -17.8 + 0.63x = -20 + -17.8

Combine like terms: 17.8 + -17.8 = 0.0
0.0 + 0.63x = -20 + -17.8
0.63x = -20 + -17.8

Combine like terms: -20 + -17.8 = -37.8
0.63x = -37.8

Divide each side by '0.63'.
x = -60

Simplifying
x = -60

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