0.3(x+20)+0.27(x+15)=-10.05

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Solution for 0.3(x+20)+0.27(x+15)=-10.05 equation: 


Simplifying
0.3(x + 20) + 0.27(x + 15) = -10.05

Reorder the terms:
0.3(20 + x) + 0.27(x + 15) = -10.05
(20 * 0.3 + x * 0.3) + 0.27(x + 15) = -10.05
(6 + 0.3x) + 0.27(x + 15) = -10.05

Reorder the terms:
6 + 0.3x + 0.27(15 + x) = -10.05
6 + 0.3x + (15 * 0.27 + x * 0.27) = -10.05
6 + 0.3x + (4.05 + 0.27x) = -10.05

Reorder the terms:
6 + 4.05 + 0.3x + 0.27x = -10.05

Combine like terms: 6 + 4.05 = 10.05
10.05 + 0.3x + 0.27x = -10.05

Combine like terms: 0.3x + 0.27x = 0.57x
10.05 + 0.57x = -10.05

Solving
10.05 + 0.57x = -10.05

Solving for variable 'x'.

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

Add '-10.05' to each side of the equation.
10.05 + -10.05 + 0.57x = -10.05 + -10.05

Combine like terms: 10.05 + -10.05 = 0.00
0.00 + 0.57x = -10.05 + -10.05
0.57x = -10.05 + -10.05

Combine like terms: -10.05 + -10.05 = -20.1
0.57x = -20.1

Divide each side by '0.57'.
x = -35.26315789

Simplifying
x = -35.26315789

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