5.5(6.7x+7.3)=-5.5(-4.2x+2.2)

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Solution for 5.5(6.7x+7.3)=-5.5(-4.2x+2.2) equation: 


Simplifying
5.5(6.7x + 7.3) = -5.5(-4.2x + 2.2)

Reorder the terms:
5.5(7.3 + 6.7x) = -5.5(-4.2x + 2.2)
(7.3 * 5.5 + 6.7x * 5.5) = -5.5(-4.2x + 2.2)
(40.15 + 36.85x) = -5.5(-4.2x + 2.2)

Reorder the terms:
40.15 + 36.85x = -5.5(2.2 + -4.2x)
40.15 + 36.85x = (2.2 * -5.5 + -4.2x * -5.5)
40.15 + 36.85x = (-12.1 + 23.1x)

Solving
40.15 + 36.85x = -12.1 + 23.1x

Solving for variable 'x'.

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

Add '-23.1x' to each side of the equation.
40.15 + 36.85x + -23.1x = -12.1 + 23.1x + -23.1x

Combine like terms: 36.85x + -23.1x = 13.75x
40.15 + 13.75x = -12.1 + 23.1x + -23.1x

Combine like terms: 23.1x + -23.1x = 0.0
40.15 + 13.75x = -12.1 + 0.0
40.15 + 13.75x = -12.1

Add '-40.15' to each side of the equation.
40.15 + -40.15 + 13.75x = -12.1 + -40.15

Combine like terms: 40.15 + -40.15 = 0.00
0.00 + 13.75x = -12.1 + -40.15
13.75x = -12.1 + -40.15

Combine like terms: -12.1 + -40.15 = -52.25
13.75x = -52.25

Divide each side by '13.75'.
x = -3.8

Simplifying
x = -3.8

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