0.4x+0.1=0.6x-0.3

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Solution for 0.4x+0.1=0.6x-0.3 equation: 


Simplifying
0.4x + 0.1 = 0.6x + -0.3

Reorder the terms:
0.1 + 0.4x = 0.6x + -0.3

Reorder the terms:
0.1 + 0.4x = -0.3 + 0.6x

Solving
0.1 + 0.4x = -0.3 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.1 + 0.4x + -0.6x = -0.3 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
0.1 + -0.2x = -0.3 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.1 + -0.2x = -0.3 + 0.0
0.1 + -0.2x = -0.3

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.2x = -0.3 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.2x = -0.3 + -0.1
-0.2x = -0.3 + -0.1

Combine like terms: -0.3 + -0.1 = -0.4
-0.2x = -0.4

Divide each side by '-0.2'.
x = 2

Simplifying
x = 2

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