.2(x-6)=.3x+5-3+.1x

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Solution for .2(x-6)=.3x+5-3+.1x equation: 


Simplifying
0.2(x + -6) = 0.3x + 5 + -3 + 0.1x

Reorder the terms:
0.2(-6 + x) = 0.3x + 5 + -3 + 0.1x
(-6 * 0.2 + x * 0.2) = 0.3x + 5 + -3 + 0.1x
(-1.2 + 0.2x) = 0.3x + 5 + -3 + 0.1x

Reorder the terms:
-1.2 + 0.2x = 5 + -3 + 0.3x + 0.1x

Combine like terms: 5 + -3 = 2
-1.2 + 0.2x = 2 + 0.3x + 0.1x

Combine like terms: 0.3x + 0.1x = 0.4x
-1.2 + 0.2x = 2 + 0.4x

Solving
-1.2 + 0.2x = 2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-1.2 + 0.2x + -0.4x = 2 + 0.4x + -0.4x

Combine like terms: 0.2x + -0.4x = -0.2x
-1.2 + -0.2x = 2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-1.2 + -0.2x = 2 + 0.0
-1.2 + -0.2x = 2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.2x = 2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.2x = 2 + 1.2
-0.2x = 2 + 1.2

Combine like terms: 2 + 1.2 = 3.2
-0.2x = 3.2

Divide each side by '-0.2'.
x = -16

Simplifying
x = -16

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