-.1666667(x-18)+.3333333(x+3)=x-26

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Solution for -.1666667(x-18)+.3333333(x+3)=x-26 equation: 


Simplifying
-0.1666667(x + -18) + 0.3333333(x + 3) = x + -26

Reorder the terms:
-0.1666667(-18 + x) + 0.3333333(x + 3) = x + -26
(-18 * -0.1666667 + x * -0.1666667) + 0.3333333(x + 3) = x + -26
(3.0000006 + -0.1666667x) + 0.3333333(x + 3) = x + -26

Reorder the terms:
3.0000006 + -0.1666667x + 0.3333333(3 + x) = x + -26
3.0000006 + -0.1666667x + (3 * 0.3333333 + x * 0.3333333) = x + -26
3.0000006 + -0.1666667x + (0.9999999 + 0.3333333x) = x + -26

Reorder the terms:
3.0000006 + 0.9999999 + -0.1666667x + 0.3333333x = x + -26

Combine like terms: 3.0000006 + 0.9999999 = 4.0000005
4.0000005 + -0.1666667x + 0.3333333x = x + -26

Combine like terms: -0.1666667x + 0.3333333x = 0.1666666x
4.0000005 + 0.1666666x = x + -26

Reorder the terms:
4.0000005 + 0.1666666x = -26 + x

Solving
4.0000005 + 0.1666666x = -26 + 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.
4.0000005 + 0.1666666x + -1x = -26 + x + -1x

Combine like terms: 0.1666666x + -1x = -0.8333334x
4.0000005 + -0.8333334x = -26 + x + -1x

Combine like terms: x + -1x = 0
4.0000005 + -0.8333334x = -26 + 0
4.0000005 + -0.8333334x = -26

Add '-4.0000005' to each side of the equation.
4.0000005 + -4.0000005 + -0.8333334x = -26 + -4.0000005

Combine like terms: 4.0000005 + -4.0000005 = 0.0000000
0.0000000 + -0.8333334x = -26 + -4.0000005
-0.8333334x = -26 + -4.0000005

Combine like terms: -26 + -4.0000005 = -30.0000005
-0.8333334x = -30.0000005

Divide each side by '-0.8333334'.
x = 35.99999772

Simplifying
x = 35.99999772

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