.166(12-6x)=5(x+4)

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Solution for .166(12-6x)=5(x+4) equation: 


Simplifying
0.166(12 + -6x) = 5(x + 4)
(12 * 0.166 + -6x * 0.166) = 5(x + 4)
(1.992 + -0.996x) = 5(x + 4)

Reorder the terms:
1.992 + -0.996x = 5(4 + x)
1.992 + -0.996x = (4 * 5 + x * 5)
1.992 + -0.996x = (20 + 5x)

Solving
1.992 + -0.996x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.992 + -0.996x + -5x = 20 + 5x + -5x

Combine like terms: -0.996x + -5x = -5.996x
1.992 + -5.996x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.992 + -5.996x = 20 + 0
1.992 + -5.996x = 20

Add '-1.992' to each side of the equation.
1.992 + -1.992 + -5.996x = 20 + -1.992

Combine like terms: 1.992 + -1.992 = 0.000
0.000 + -5.996x = 20 + -1.992
-5.996x = 20 + -1.992

Combine like terms: 20 + -1.992 = 18.008
-5.996x = 18.008

Divide each side by '-5.996'.
x = -3.003335557

Simplifying
x = -3.003335557

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