4.4x+49.4=20.2-10.2x

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Solution for 4.4x+49.4=20.2-10.2x equation: 


Simplifying
4.4x + 49.4 = 20.2 + -10.2x

Reorder the terms:
49.4 + 4.4x = 20.2 + -10.2x

Solving
49.4 + 4.4x = 20.2 + -10.2x

Solving for variable 'x'.

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

Add '10.2x' to each side of the equation.
49.4 + 4.4x + 10.2x = 20.2 + -10.2x + 10.2x

Combine like terms: 4.4x + 10.2x = 14.6x
49.4 + 14.6x = 20.2 + -10.2x + 10.2x

Combine like terms: -10.2x + 10.2x = 0.0
49.4 + 14.6x = 20.2 + 0.0
49.4 + 14.6x = 20.2

Add '-49.4' to each side of the equation.
49.4 + -49.4 + 14.6x = 20.2 + -49.4

Combine like terms: 49.4 + -49.4 = 0.0
0.0 + 14.6x = 20.2 + -49.4
14.6x = 20.2 + -49.4

Combine like terms: 20.2 + -49.4 = -29.2
14.6x = -29.2

Divide each side by '14.6'.
x = -2

Simplifying
x = -2

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