4.4x+33.8=8.4-8.3x

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Solution for 4.4x+33.8=8.4-8.3x equation: 


Simplifying
4.4x + 33.8 = 8.4 + -8.3x

Reorder the terms:
33.8 + 4.4x = 8.4 + -8.3x

Solving
33.8 + 4.4x = 8.4 + -8.3x

Solving for variable 'x'.

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

Add '8.3x' to each side of the equation.
33.8 + 4.4x + 8.3x = 8.4 + -8.3x + 8.3x

Combine like terms: 4.4x + 8.3x = 12.7x
33.8 + 12.7x = 8.4 + -8.3x + 8.3x

Combine like terms: -8.3x + 8.3x = 0.0
33.8 + 12.7x = 8.4 + 0.0
33.8 + 12.7x = 8.4

Add '-33.8' to each side of the equation.
33.8 + -33.8 + 12.7x = 8.4 + -33.8

Combine like terms: 33.8 + -33.8 = 0.0
0.0 + 12.7x = 8.4 + -33.8
12.7x = 8.4 + -33.8

Combine like terms: 8.4 + -33.8 = -25.4
12.7x = -25.4

Divide each side by '12.7'.
x = -2

Simplifying
x = -2

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