0.5x+0.5=0.8x-0.1

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Solution for 0.5x+0.5=0.8x-0.1 equation: 


Simplifying
0.5x + 0.5 = 0.8x + -0.1

Reorder the terms:
0.5 + 0.5x = 0.8x + -0.1

Reorder the terms:
0.5 + 0.5x = -0.1 + 0.8x

Solving
0.5 + 0.5x = -0.1 + 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.
0.5 + 0.5x + -0.8x = -0.1 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
0.5 + -0.3x = -0.1 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.5 + -0.3x = -0.1 + 0.0
0.5 + -0.3x = -0.1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.3x = -0.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.3x = -0.1 + -0.5
-0.3x = -0.1 + -0.5

Combine like terms: -0.1 + -0.5 = -0.6
-0.3x = -0.6

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

Simplifying
x = 2

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