-.16666(x-18)+6(.5)(x+2)=6(x+8)

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Solution for -.16666(x-18)+6(.5)(x+2)=6(x+8) equation: 


Simplifying
-0.16666(x + -18) + 6(0.5)(x + 2) = 6(x + 8)

Reorder the terms:
-0.16666(-18 + x) + 6(0.5)(x + 2) = 6(x + 8)
(-18 * -0.16666 + x * -0.16666) + 6(0.5)(x + 2) = 6(x + 8)
(2.99988 + -0.16666x) + 6(0.5)(x + 2) = 6(x + 8)

Reorder the terms:
2.99988 + -0.16666x + 6 * 0.5(2 + x) = 6(x + 8)

Multiply 6 * 0.5
2.99988 + -0.16666x + 3(2 + x) = 6(x + 8)
2.99988 + -0.16666x + (2 * 3 + x * 3) = 6(x + 8)
2.99988 + -0.16666x + (6 + 3x) = 6(x + 8)

Reorder the terms:
2.99988 + 6 + -0.16666x + 3x = 6(x + 8)

Combine like terms: 2.99988 + 6 = 8.99988
8.99988 + -0.16666x + 3x = 6(x + 8)

Combine like terms: -0.16666x + 3x = 2.83334x
8.99988 + 2.83334x = 6(x + 8)

Reorder the terms:
8.99988 + 2.83334x = 6(8 + x)
8.99988 + 2.83334x = (8 * 6 + x * 6)
8.99988 + 2.83334x = (48 + 6x)

Solving
8.99988 + 2.83334x = 48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8.99988 + 2.83334x + -6x = 48 + 6x + -6x

Combine like terms: 2.83334x + -6x = -3.16666x
8.99988 + -3.16666x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
8.99988 + -3.16666x = 48 + 0
8.99988 + -3.16666x = 48

Add '-8.99988' to each side of the equation.
8.99988 + -8.99988 + -3.16666x = 48 + -8.99988

Combine like terms: 8.99988 + -8.99988 = 0.00000
0.00000 + -3.16666x = 48 + -8.99988
-3.16666x = 48 + -8.99988

Combine like terms: 48 + -8.99988 = 39.00012
-3.16666x = 39.00012

Divide each side by '-3.16666'.
x = -12.3158533

Simplifying
x = -12.3158533

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