.6x-.1=.5x+.2

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Solution for .6x-.1=.5x+.2 equation: 


Simplifying
0.6x + -0.1 = 0.5x + 0.2

Reorder the terms:
-0.1 + 0.6x = 0.5x + 0.2

Reorder the terms:
-0.1 + 0.6x = 0.2 + 0.5x

Solving
-0.1 + 0.6x = 0.2 + 0.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5x' to each side of the equation.
-0.1 + 0.6x + -0.5x = 0.2 + 0.5x + -0.5x

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

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

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

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

Combine like terms: 0.2 + 0.1 = 0.3
0.1x = 0.3

Divide each side by '0.1'.
x = 3

Simplifying
x = 3

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