0.1(x+106)=-2(8-x)

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Solution for 0.1(x+106)=-2(8-x) equation: 


Simplifying
0.1(x + 106) = -2(8 + -1x)

Reorder the terms:
0.1(106 + x) = -2(8 + -1x)
(106 * 0.1 + x * 0.1) = -2(8 + -1x)
(10.6 + 0.1x) = -2(8 + -1x)
10.6 + 0.1x = (8 * -2 + -1x * -2)
10.6 + 0.1x = (-16 + 2x)

Solving
10.6 + 0.1x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10.6 + 0.1x + -2x = -16 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
10.6 + -1.9x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
10.6 + -1.9x = -16 + 0
10.6 + -1.9x = -16

Add '-10.6' to each side of the equation.
10.6 + -10.6 + -1.9x = -16 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + -1.9x = -16 + -10.6
-1.9x = -16 + -10.6

Combine like terms: -16 + -10.6 = -26.6
-1.9x = -26.6

Divide each side by '-1.9'.
x = 14

Simplifying
x = 14

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