4.7x+33.9=7.7-8.4x

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Solution for 4.7x+33.9=7.7-8.4x equation: 


Simplifying
4.7x + 33.9 = 7.7 + -8.4x

Reorder the terms:
33.9 + 4.7x = 7.7 + -8.4x

Solving
33.9 + 4.7x = 7.7 + -8.4x

Solving for variable 'x'.

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

Add '8.4x' to each side of the equation.
33.9 + 4.7x + 8.4x = 7.7 + -8.4x + 8.4x

Combine like terms: 4.7x + 8.4x = 13.1x
33.9 + 13.1x = 7.7 + -8.4x + 8.4x

Combine like terms: -8.4x + 8.4x = 0.0
33.9 + 13.1x = 7.7 + 0.0
33.9 + 13.1x = 7.7

Add '-33.9' to each side of the equation.
33.9 + -33.9 + 13.1x = 7.7 + -33.9

Combine like terms: 33.9 + -33.9 = 0.0
0.0 + 13.1x = 7.7 + -33.9
13.1x = 7.7 + -33.9

Combine like terms: 7.7 + -33.9 = -26.2
13.1x = -26.2

Divide each side by '13.1'.
x = -2

Simplifying
x = -2

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