0.2x-0.16666667(x-8)=6x

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Solution for 0.2x-0.16666667(x-8)=6x equation:


Simplifying
0.2x + -0.16666667(x + -8) = 6x

Reorder the terms:
0.2x + -0.16666667(-8 + x) = 6x
0.2x + (-8 * -0.16666667 + x * -0.16666667) = 6x
0.2x + (1.33333336 + -0.16666667x) = 6x

Reorder the terms:
1.33333336 + 0.2x + -0.16666667x = 6x

Combine like terms: 0.2x + -0.16666667x = 0.03333333x
1.33333336 + 0.03333333x = 6x

Solving
1.33333336 + 0.03333333x = 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.
1.33333336 + 0.03333333x + -6x = 6x + -6x

Combine like terms: 0.03333333x + -6x = -5.96666667x
1.33333336 + -5.96666667x = 6x + -6x

Combine like terms: 6x + -6x = 0
1.33333336 + -5.96666667x = 0

Add '-1.33333336' to each side of the equation.
1.33333336 + -1.33333336 + -5.96666667x = 0 + -1.33333336

Combine like terms: 1.33333336 + -1.33333336 = 0.00000000
0.00000000 + -5.96666667x = 0 + -1.33333336
-5.96666667x = 0 + -1.33333336

Combine like terms: 0 + -1.33333336 = -1.33333336
-5.96666667x = -1.33333336

Divide each side by '-5.96666667'.
x = 0.2234636915

Simplifying
x = 0.2234636915

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