0.5x+2=0.8x-0.4

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Solution for 0.5x+2=0.8x-0.4 equation: 


Simplifying
0.5x + 2 = 0.8x + -0.4

Reorder the terms:
2 + 0.5x = 0.8x + -0.4

Reorder the terms:
2 + 0.5x = -0.4 + 0.8x

Solving
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.
2 + 0.5x + -0.8x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
2 + -0.3x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
2 + -0.3x = -0.4 + 0.0
2 + -0.3x = -0.4

Add '-2' to each side of the equation.
2 + -2 + -0.3x = -0.4 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3x = -0.4 + -2
-0.3x = -0.4 + -2

Combine like terms: -0.4 + -2 = -2.4
-0.3x = -2.4

Divide each side by '-0.3'.
x = 8

Simplifying
x = 8

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