-0.1666666667(x-18)+0.5(x+2)=x-8

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Solution for -0.1666666667(x-18)+0.5(x+2)=x-8 equation: 


Simplifying
-0.1666666667(x + -18) + 0.5(x + 2) = x + -8

Reorder the terms:
-0.1666666667(-18 + x) + 0.5(x + 2) = x + -8
(-18 * -0.1666666667 + x * -0.1666666667) + 0.5(x + 2) = x + -8
(3.000000001 + -0.1666666667x) + 0.5(x + 2) = x + -8

Reorder the terms:
3.000000001 + -0.1666666667x + 0.5(2 + x) = x + -8
3.000000001 + -0.1666666667x + (2 * 0.5 + x * 0.5) = x + -8
3.000000001 + -0.1666666667x + (1 + 0.5x) = x + -8

Reorder the terms:
3.000000001 + 1 + -0.1666666667x + 0.5x = x + -8

Combine like terms: 3.000000001 + 1 = 4.000000001
4.000000001 + -0.1666666667x + 0.5x = x + -8

Combine like terms: -0.1666666667x + 0.5x = 0.3333333333x
4.000000001 + 0.3333333333x = x + -8

Reorder the terms:
4.000000001 + 0.3333333333x = -8 + x

Solving
4.000000001 + 0.3333333333x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4.000000001 + 0.3333333333x + -1x = -8 + x + -1x

Combine like terms: 0.3333333333x + -1x = -0.6666666667x
4.000000001 + -0.6666666667x = -8 + x + -1x

Combine like terms: x + -1x = 0
4.000000001 + -0.6666666667x = -8 + 0
4.000000001 + -0.6666666667x = -8

Add '-4.000000001' to each side of the equation.
4.000000001 + -4.000000001 + -0.6666666667x = -8 + -4.000000001

Combine like terms: 4.000000001 + -4.000000001 = 0.000000000
0.000000000 + -0.6666666667x = -8 + -4.000000001
-0.6666666667x = -8 + -4.000000001

Combine like terms: -8 + -4.000000001 = -12.000000001
-0.6666666667x = -12.000000001

Divide each side by '-0.6666666667'.
x = 18

Simplifying
x = 18

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