0.2x-0.166(x-1)=6x

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Solution for 0.2x-0.166(x-1)=6x equation: 


Simplifying
0.2x + -0.166(x + -1) = 6x

Reorder the terms:
0.2x + -0.166(-1 + x) = 6x
0.2x + (-1 * -0.166 + x * -0.166) = 6x
0.2x + (0.166 + -0.166x) = 6x

Reorder the terms:
0.166 + 0.2x + -0.166x = 6x

Combine like terms: 0.2x + -0.166x = 0.034x
0.166 + 0.034x = 6x

Solving
0.166 + 0.034x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
0.166 + 0.034x + -6x = 6x + -6x

Combine like terms: 0.034x + -6x = -5.966x
0.166 + -5.966x = 6x + -6x

Combine like terms: 6x + -6x = 0
0.166 + -5.966x = 0

Add '-0.166' to each side of the equation.
0.166 + -0.166 + -5.966x = 0 + -0.166

Combine like terms: 0.166 + -0.166 = 0.000
0.000 + -5.966x = 0 + -0.166
-5.966x = 0 + -0.166

Combine like terms: 0 + -0.166 = -0.166
-5.966x = -0.166

Divide each side by '-5.966'.
x = 0.02782433791

Simplifying
x = 0.02782433791

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