0.5x+0.2=0.8x-0.4

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Solution for 0.5x+0.2=0.8x-0.4 equation: 


Simplifying
0.5x + 0.2 = 0.8x + -0.4

Reorder the terms:
0.2 + 0.5x = 0.8x + -0.4

Reorder the terms:
0.2 + 0.5x = -0.4 + 0.8x

Solving
0.2 + 0.5x = -0.4 + 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.
0.2 + 0.5x + -0.8x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
0.2 + -0.3x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.2 + -0.3x = -0.4 + 0.0
0.2 + -0.3x = -0.4

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.3x = -0.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.3x = -0.4 + -0.2
-0.3x = -0.4 + -0.2

Combine like terms: -0.4 + -0.2 = -0.6
-0.3x = -0.6

Divide each side by '-0.3'.
x = 2

Simplifying
x = 2

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