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

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


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

Reorder the terms:
0.2(3 + x) = 3x + -3(3 + -1x) + -8
(3 * 0.2 + x * 0.2) = 3x + -3(3 + -1x) + -8
(0.6 + 0.2x) = 3x + -3(3 + -1x) + -8
0.6 + 0.2x = 3x + (3 * -3 + -1x * -3) + -8
0.6 + 0.2x = 3x + (-9 + 3x) + -8

Reorder the terms:
0.6 + 0.2x = -9 + -8 + 3x + 3x

Combine like terms: -9 + -8 = -17
0.6 + 0.2x = -17 + 3x + 3x

Combine like terms: 3x + 3x = 6x
0.6 + 0.2x = -17 + 6x

Solving
0.6 + 0.2x = -17 + 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.
0.6 + 0.2x + -6x = -17 + 6x + -6x

Combine like terms: 0.2x + -6x = -5.8x
0.6 + -5.8x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
0.6 + -5.8x = -17 + 0
0.6 + -5.8x = -17

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -5.8x = -17 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5.8x = -17 + -0.6
-5.8x = -17 + -0.6

Combine like terms: -17 + -0.6 = -17.6
-5.8x = -17.6

Divide each side by '-5.8'.
x = 3.034482759

Simplifying
x = 3.034482759

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