-0.2(x-6)+x=.3(4-x)

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Solution for -0.2(x-6)+x=.3(4-x) equation: 


Simplifying
-0.2(x + -6) + x = 0.3(4 + -1x)

Reorder the terms:
-0.2(-6 + x) + x = 0.3(4 + -1x)
(-6 * -0.2 + x * -0.2) + x = 0.3(4 + -1x)
(1.2 + -0.2x) + x = 0.3(4 + -1x)

Combine like terms: -0.2x + x = 0.8x
1.2 + 0.8x = 0.3(4 + -1x)
1.2 + 0.8x = (4 * 0.3 + -1x * 0.3)
1.2 + 0.8x = (1.2 + -0.3x)

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.8x = 1.2 + -1.2 + -0.3x

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.8x = 1.2 + -1.2 + -0.3x
0.8x = 1.2 + -1.2 + -0.3x

Combine like terms: 1.2 + -1.2 = 0.0
0.8x = 0.0 + -0.3x
0.8x = -0.3x

Solving
0.8x = -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
0.8x + 0.3x = -0.3x + 0.3x

Combine like terms: 0.8x + 0.3x = 1.1x
1.1x = -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
1.1x = 0.0

Divide each side by '1.1'.
x = 0

Simplifying
x = 0

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