0.5x+1.6=0.8x-0.2

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Solution for 0.5x+1.6=0.8x-0.2 equation: 


Simplifying
0.5x + 1.6 = 0.8x + -0.2

Reorder the terms:
1.6 + 0.5x = 0.8x + -0.2

Reorder the terms:
1.6 + 0.5x = -0.2 + 0.8x

Solving
1.6 + 0.5x = -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.
1.6 + 0.5x + -0.8x = -0.2 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
1.6 + -0.3x = -0.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
1.6 + -0.3x = -0.2 + 0.0
1.6 + -0.3x = -0.2

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.3x = -0.2 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.3x = -0.2 + -1.6
-0.3x = -0.2 + -1.6

Combine like terms: -0.2 + -1.6 = -1.8
-0.3x = -1.8

Divide each side by '-0.3'.
x = 6

Simplifying
x = 6

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