3.1x+46.2=8.1-9.6x

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Solution for 3.1x+46.2=8.1-9.6x equation: 


Simplifying
3.1x + 46.2 = 8.1 + -9.6x

Reorder the terms:
46.2 + 3.1x = 8.1 + -9.6x

Solving
46.2 + 3.1x = 8.1 + -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.
46.2 + 3.1x + 9.6x = 8.1 + -9.6x + 9.6x

Combine like terms: 3.1x + 9.6x = 12.7x
46.2 + 12.7x = 8.1 + -9.6x + 9.6x

Combine like terms: -9.6x + 9.6x = 0.0
46.2 + 12.7x = 8.1 + 0.0
46.2 + 12.7x = 8.1

Add '-46.2' to each side of the equation.
46.2 + -46.2 + 12.7x = 8.1 + -46.2

Combine like terms: 46.2 + -46.2 = 0.0
0.0 + 12.7x = 8.1 + -46.2
12.7x = 8.1 + -46.2

Combine like terms: 8.1 + -46.2 = -38.1
12.7x = -38.1

Divide each side by '12.7'.
x = -3

Simplifying
x = -3

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