0.3(x-6)=0.3x+6-4+0.2x

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Solution for 0.3(x-6)=0.3x+6-4+0.2x equation: 


Simplifying
0.3(x + -6) = 0.3x + 6 + -4 + 0.2x

Reorder the terms:
0.3(-6 + x) = 0.3x + 6 + -4 + 0.2x
(-6 * 0.3 + x * 0.3) = 0.3x + 6 + -4 + 0.2x
(-1.8 + 0.3x) = 0.3x + 6 + -4 + 0.2x

Reorder the terms:
-1.8 + 0.3x = 6 + -4 + 0.3x + 0.2x

Combine like terms: 6 + -4 = 2
-1.8 + 0.3x = 2 + 0.3x + 0.2x

Combine like terms: 0.3x + 0.2x = 0.5x
-1.8 + 0.3x = 2 + 0.5x

Solving
-1.8 + 0.3x = 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.
-1.8 + 0.3x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
-1.8 + -0.2x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.8 + -0.2x = 2 + 0.0
-1.8 + -0.2x = 2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.2x = 2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.2x = 2 + 1.8
-0.2x = 2 + 1.8

Combine like terms: 2 + 1.8 = 3.8
-0.2x = 3.8

Divide each side by '-0.2'.
x = -19

Simplifying
x = -19

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