0.6x+0.1=0.8x-0.5

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Solution for 0.6x+0.1=0.8x-0.5 equation: 


Simplifying
0.6x + 0.1 = 0.8x + -0.5

Reorder the terms:
0.1 + 0.6x = 0.8x + -0.5

Reorder the terms:
0.1 + 0.6x = -0.5 + 0.8x

Solving
0.1 + 0.6x = -0.5 + 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.
0.1 + 0.6x + -0.8x = -0.5 + 0.8x + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
0.1 + -0.2x = -0.5 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.1 + -0.2x = -0.5 + 0.0
0.1 + -0.2x = -0.5

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.2x = -0.5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.2x = -0.5 + -0.1
-0.2x = -0.5 + -0.1

Combine like terms: -0.5 + -0.1 = -0.6
-0.2x = -0.6

Divide each side by '-0.2'.
x = 3

Simplifying
x = 3

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