4.1x+38.9=8.3-6.1x

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Solution for 4.1x+38.9=8.3-6.1x equation: 


Simplifying
4.1x + 38.9 = 8.3 + -6.1x

Reorder the terms:
38.9 + 4.1x = 8.3 + -6.1x

Solving
38.9 + 4.1x = 8.3 + -6.1x

Solving for variable 'x'.

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

Add '6.1x' to each side of the equation.
38.9 + 4.1x + 6.1x = 8.3 + -6.1x + 6.1x

Combine like terms: 4.1x + 6.1x = 10.2x
38.9 + 10.2x = 8.3 + -6.1x + 6.1x

Combine like terms: -6.1x + 6.1x = 0.0
38.9 + 10.2x = 8.3 + 0.0
38.9 + 10.2x = 8.3

Add '-38.9' to each side of the equation.
38.9 + -38.9 + 10.2x = 8.3 + -38.9

Combine like terms: 38.9 + -38.9 = 0.0
0.0 + 10.2x = 8.3 + -38.9
10.2x = 8.3 + -38.9

Combine like terms: 8.3 + -38.9 = -30.6
10.2x = -30.6

Divide each side by '10.2'.
x = -3

Simplifying
x = -3

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