3.3x+55.9=0.4-7.8x

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Solution for 3.3x+55.9=0.4-7.8x equation: 


Simplifying
3.3x + 55.9 = 0.4 + -7.8x

Reorder the terms:
55.9 + 3.3x = 0.4 + -7.8x

Solving
55.9 + 3.3x = 0.4 + -7.8x

Solving for variable 'x'.

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

Add '7.8x' to each side of the equation.
55.9 + 3.3x + 7.8x = 0.4 + -7.8x + 7.8x

Combine like terms: 3.3x + 7.8x = 11.1x
55.9 + 11.1x = 0.4 + -7.8x + 7.8x

Combine like terms: -7.8x + 7.8x = 0.0
55.9 + 11.1x = 0.4 + 0.0
55.9 + 11.1x = 0.4

Add '-55.9' to each side of the equation.
55.9 + -55.9 + 11.1x = 0.4 + -55.9

Combine like terms: 55.9 + -55.9 = 0.0
0.0 + 11.1x = 0.4 + -55.9
11.1x = 0.4 + -55.9

Combine like terms: 0.4 + -55.9 = -55.5
11.1x = -55.5

Divide each side by '11.1'.
x = -5

Simplifying
x = -5

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