84.61=4.1x-3(6x-5.5)

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Solution for 84.61=4.1x-3(6x-5.5) equation: 


Simplifying
84.61 = 4.1x + -3(6x + -5.5)

Reorder the terms:
84.61 = 4.1x + -3(-5.5 + 6x)
84.61 = 4.1x + (-5.5 * -3 + 6x * -3)
84.61 = 4.1x + (16.5 + -18x)

Reorder the terms:
84.61 = 16.5 + 4.1x + -18x

Combine like terms: 4.1x + -18x = -13.9x
84.61 = 16.5 + -13.9x

Solving
84.61 = 16.5 + -13.9x

Solving for variable 'x'.

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

Add '13.9x' to each side of the equation.
84.61 + 13.9x = 16.5 + -13.9x + 13.9x

Combine like terms: -13.9x + 13.9x = 0.0
84.61 + 13.9x = 16.5 + 0.0
84.61 + 13.9x = 16.5

Add '-84.61' to each side of the equation.
84.61 + -84.61 + 13.9x = 16.5 + -84.61

Combine like terms: 84.61 + -84.61 = 0.00
0.00 + 13.9x = 16.5 + -84.61
13.9x = 16.5 + -84.61

Combine like terms: 16.5 + -84.61 = -68.11
13.9x = -68.11

Divide each side by '13.9'.
x = -4.9

Simplifying
x = -4.9

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