0.6x-2(0.5x+0.2)=0.4-0.3x

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Solution for 0.6x-2(0.5x+0.2)=0.4-0.3x equation: 


Simplifying
0.6x + -2(0.5x + 0.2) = 0.4 + -0.3x

Reorder the terms:
0.6x + -2(0.2 + 0.5x) = 0.4 + -0.3x
0.6x + (0.2 * -2 + 0.5x * -2) = 0.4 + -0.3x
0.6x + (-0.4 + -1x) = 0.4 + -0.3x

Reorder the terms:
-0.4 + 0.6x + -1x = 0.4 + -0.3x

Combine like terms: 0.6x + -1x = -0.4x
-0.4 + -0.4x = 0.4 + -0.3x

Solving
-0.4 + -0.4x = 0.4 + -0.3x

Solving for variable 'x'.

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

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

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

Combine like terms: -0.3x + 0.3x = 0.0
-0.4 + -0.1x = 0.4 + 0.0
-0.4 + -0.1x = 0.4

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

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.1x = 0.4 + 0.4
-0.1x = 0.4 + 0.4

Combine like terms: 0.4 + 0.4 = 0.8
-0.1x = 0.8

Divide each side by '-0.1'.
x = -8

Simplifying
x = -8

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