82.5-8.4x=3.6x+38.1

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Solution for 82.5-8.4x=3.6x+38.1 equation: 


Simplifying
82.5 + -8.4x = 3.6x + 38.1

Reorder the terms:
82.5 + -8.4x = 38.1 + 3.6x

Solving
82.5 + -8.4x = 38.1 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
82.5 + -8.4x + -3.6x = 38.1 + 3.6x + -3.6x

Combine like terms: -8.4x + -3.6x = -12x
82.5 + -12x = 38.1 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
82.5 + -12x = 38.1 + 0.0
82.5 + -12x = 38.1

Add '-82.5' to each side of the equation.
82.5 + -82.5 + -12x = 38.1 + -82.5

Combine like terms: 82.5 + -82.5 = 0.0
0.0 + -12x = 38.1 + -82.5
-12x = 38.1 + -82.5

Combine like terms: 38.1 + -82.5 = -44.4
-12x = -44.4

Divide each side by '-12'.
x = 3.7

Simplifying
x = 3.7

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