1.5x+2(x-4)+5.5(x+9)=0

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Solution for 1.5x+2(x-4)+5.5(x+9)=0 equation: 


Simplifying
1.5x + 2(x + -4) + 5.5(x + 9) = 0

Reorder the terms:
1.5x + 2(-4 + x) + 5.5(x + 9) = 0
1.5x + (-4 * 2 + x * 2) + 5.5(x + 9) = 0
1.5x + (-8 + 2x) + 5.5(x + 9) = 0

Reorder the terms:
1.5x + -8 + 2x + 5.5(9 + x) = 0
1.5x + -8 + 2x + (9 * 5.5 + x * 5.5) = 0
1.5x + -8 + 2x + (49.5 + 5.5x) = 0

Reorder the terms:
-8 + 49.5 + 1.5x + 2x + 5.5x = 0

Combine like terms: -8 + 49.5 = 41.5
41.5 + 1.5x + 2x + 5.5x = 0

Combine like terms: 1.5x + 2x = 3.5x
41.5 + 3.5x + 5.5x = 0

Combine like terms: 3.5x + 5.5x = 9x
41.5 + 9x = 0

Solving
41.5 + 9x = 0

Solving for variable 'x'.

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

Add '-41.5' to each side of the equation.
41.5 + -41.5 + 9x = 0 + -41.5

Combine like terms: 41.5 + -41.5 = 0.0
0.0 + 9x = 0 + -41.5
9x = 0 + -41.5

Combine like terms: 0 + -41.5 = -41.5
9x = -41.5

Divide each side by '9'.
x = -4.611111111

Simplifying
x = -4.611111111

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