5x+3(x-2)+5.5(x+9)=0

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Solution for 5x+3(x-2)+5.5(x+9)=0 equation: 


Simplifying
5x + 3(x + -2) + 5.5(x + 9) = 0

Reorder the terms:
5x + 3(-2 + x) + 5.5(x + 9) = 0
5x + (-2 * 3 + x * 3) + 5.5(x + 9) = 0
5x + (-6 + 3x) + 5.5(x + 9) = 0

Reorder the terms:
5x + -6 + 3x + 5.5(9 + x) = 0
5x + -6 + 3x + (9 * 5.5 + x * 5.5) = 0
5x + -6 + 3x + (49.5 + 5.5x) = 0

Reorder the terms:
-6 + 49.5 + 5x + 3x + 5.5x = 0

Combine like terms: -6 + 49.5 = 43.5
43.5 + 5x + 3x + 5.5x = 0

Combine like terms: 5x + 3x = 8x
43.5 + 8x + 5.5x = 0

Combine like terms: 8x + 5.5x = 13.5x
43.5 + 13.5x = 0

Solving
43.5 + 13.5x = 0

Solving for variable 'x'.

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

Add '-43.5' to each side of the equation.
43.5 + -43.5 + 13.5x = 0 + -43.5

Combine like terms: 43.5 + -43.5 = 0.0
0.0 + 13.5x = 0 + -43.5
13.5x = 0 + -43.5

Combine like terms: 0 + -43.5 = -43.5
13.5x = -43.5

Divide each side by '13.5'.
x = -3.222222222

Simplifying
x = -3.222222222

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