-.166(x-12)+.333(x+3)=x-27

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Solution for -.166(x-12)+.333(x+3)=x-27 equation: 


Simplifying
-0.166(x + -12) + 0.333(x + 3) = x + -27

Reorder the terms:
-0.166(-12 + x) + 0.333(x + 3) = x + -27
(-12 * -0.166 + x * -0.166) + 0.333(x + 3) = x + -27
(1.992 + -0.166x) + 0.333(x + 3) = x + -27

Reorder the terms:
1.992 + -0.166x + 0.333(3 + x) = x + -27
1.992 + -0.166x + (3 * 0.333 + x * 0.333) = x + -27
1.992 + -0.166x + (0.999 + 0.333x) = x + -27

Reorder the terms:
1.992 + 0.999 + -0.166x + 0.333x = x + -27

Combine like terms: 1.992 + 0.999 = 2.991
2.991 + -0.166x + 0.333x = x + -27

Combine like terms: -0.166x + 0.333x = 0.167x
2.991 + 0.167x = x + -27

Reorder the terms:
2.991 + 0.167x = -27 + x

Solving
2.991 + 0.167x = -27 + 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.
2.991 + 0.167x + -1x = -27 + x + -1x

Combine like terms: 0.167x + -1x = -0.833x
2.991 + -0.833x = -27 + x + -1x

Combine like terms: x + -1x = 0
2.991 + -0.833x = -27 + 0
2.991 + -0.833x = -27

Add '-2.991' to each side of the equation.
2.991 + -2.991 + -0.833x = -27 + -2.991

Combine like terms: 2.991 + -2.991 = 0.000
0.000 + -0.833x = -27 + -2.991
-0.833x = -27 + -2.991

Combine like terms: -27 + -2.991 = -29.991
-0.833x = -29.991

Divide each side by '-0.833'.
x = 36.00360144

Simplifying
x = 36.00360144

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