.1(x+108)=-2(6-x)

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Solution for .1(x+108)=-2(6-x) equation: 


Simplifying
0.1(x + 108) = -2(6 + -1x)

Reorder the terms:
0.1(108 + x) = -2(6 + -1x)
(108 * 0.1 + x * 0.1) = -2(6 + -1x)
(10.8 + 0.1x) = -2(6 + -1x)
10.8 + 0.1x = (6 * -2 + -1x * -2)
10.8 + 0.1x = (-12 + 2x)

Solving
10.8 + 0.1x = -12 + 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.
10.8 + 0.1x + -2x = -12 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
10.8 + -1.9x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
10.8 + -1.9x = -12 + 0
10.8 + -1.9x = -12

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -1.9x = -12 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -1.9x = -12 + -10.8
-1.9x = -12 + -10.8

Combine like terms: -12 + -10.8 = -22.8
-1.9x = -22.8

Divide each side by '-1.9'.
x = 12

Simplifying
x = 12

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