0.2x+0.4=0.8x-0.2

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Solution for 0.2x+0.4=0.8x-0.2 equation: 


Simplifying
0.2x + 0.4 = 0.8x + -0.2

Reorder the terms:
0.4 + 0.2x = 0.8x + -0.2

Reorder the terms:
0.4 + 0.2x = -0.2 + 0.8x

Solving
0.4 + 0.2x = -0.2 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
0.4 + 0.2x + -0.8x = -0.2 + 0.8x + -0.8x

Combine like terms: 0.2x + -0.8x = -0.6x
0.4 + -0.6x = -0.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.4 + -0.6x = -0.2 + 0.0
0.4 + -0.6x = -0.2

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.6x = -0.2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.6x = -0.2 + -0.4
-0.6x = -0.2 + -0.4

Combine like terms: -0.2 + -0.4 = -0.6
-0.6x = -0.6

Divide each side by '-0.6'.
x = 1

Simplifying
x = 1

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