0.2(x+2)=3x-2(3-x)-8

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Solution for 0.2(x+2)=3x-2(3-x)-8 equation: 


Simplifying
0.2(x + 2) = 3x + -2(3 + -1x) + -8

Reorder the terms:
0.2(2 + x) = 3x + -2(3 + -1x) + -8
(2 * 0.2 + x * 0.2) = 3x + -2(3 + -1x) + -8
(0.4 + 0.2x) = 3x + -2(3 + -1x) + -8
0.4 + 0.2x = 3x + (3 * -2 + -1x * -2) + -8
0.4 + 0.2x = 3x + (-6 + 2x) + -8

Reorder the terms:
0.4 + 0.2x = -6 + -8 + 3x + 2x

Combine like terms: -6 + -8 = -14
0.4 + 0.2x = -14 + 3x + 2x

Combine like terms: 3x + 2x = 5x
0.4 + 0.2x = -14 + 5x

Solving
0.4 + 0.2x = -14 + 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.
0.4 + 0.2x + -5x = -14 + 5x + -5x

Combine like terms: 0.2x + -5x = -4.8x
0.4 + -4.8x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
0.4 + -4.8x = -14 + 0
0.4 + -4.8x = -14

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -4.8x = -14 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -4.8x = -14 + -0.4
-4.8x = -14 + -0.4

Combine like terms: -14 + -0.4 = -14.4
-4.8x = -14.4

Divide each side by '-4.8'.
x = 3

Simplifying
x = 3

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