-.166(x-12)+0.5(x+2)=x+27

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Solution for -.166(x-12)+0.5(x+2)=x+27 equation: 


Simplifying
-0.166(x + -12) + 0.5(x + 2) = x + 27

Reorder the terms:
-0.166(-12 + x) + 0.5(x + 2) = x + 27
(-12 * -0.166 + x * -0.166) + 0.5(x + 2) = x + 27
(1.992 + -0.166x) + 0.5(x + 2) = x + 27

Reorder the terms:
1.992 + -0.166x + 0.5(2 + x) = x + 27
1.992 + -0.166x + (2 * 0.5 + x * 0.5) = x + 27
1.992 + -0.166x + (1 + 0.5x) = x + 27

Reorder the terms:
1.992 + 1 + -0.166x + 0.5x = x + 27

Combine like terms: 1.992 + 1 = 2.992
2.992 + -0.166x + 0.5x = x + 27

Combine like terms: -0.166x + 0.5x = 0.334x
2.992 + 0.334x = x + 27

Reorder the terms:
2.992 + 0.334x = 27 + x

Solving
2.992 + 0.334x = 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.
2.992 + 0.334x + -1x = 27 + x + -1x

Combine like terms: 0.334x + -1x = -0.666x
2.992 + -0.666x = 27 + x + -1x

Combine like terms: x + -1x = 0
2.992 + -0.666x = 27 + 0
2.992 + -0.666x = 27

Add '-2.992' to each side of the equation.
2.992 + -2.992 + -0.666x = 27 + -2.992

Combine like terms: 2.992 + -2.992 = 0.000
0.000 + -0.666x = 27 + -2.992
-0.666x = 27 + -2.992

Combine like terms: 27 + -2.992 = 24.008
-0.666x = 24.008

Divide each side by '-0.666'.
x = -36.04804805

Simplifying
x = -36.04804805

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