4.6x+50.4=7.8-9.6x

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Solution for 4.6x+50.4=7.8-9.6x equation: 


Simplifying
4.6x + 50.4 = 7.8 + -9.6x

Reorder the terms:
50.4 + 4.6x = 7.8 + -9.6x

Solving
50.4 + 4.6x = 7.8 + -9.6x

Solving for variable 'x'.

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

Add '9.6x' to each side of the equation.
50.4 + 4.6x + 9.6x = 7.8 + -9.6x + 9.6x

Combine like terms: 4.6x + 9.6x = 14.2x
50.4 + 14.2x = 7.8 + -9.6x + 9.6x

Combine like terms: -9.6x + 9.6x = 0.0
50.4 + 14.2x = 7.8 + 0.0
50.4 + 14.2x = 7.8

Add '-50.4' to each side of the equation.
50.4 + -50.4 + 14.2x = 7.8 + -50.4

Combine like terms: 50.4 + -50.4 = 0.0
0.0 + 14.2x = 7.8 + -50.4
14.2x = 7.8 + -50.4

Combine like terms: 7.8 + -50.4 = -42.6
14.2x = -42.6

Divide each side by '14.2'.
x = -3

Simplifying
x = -3

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