0.1x=0.4(x-2)-0.2

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Solution for 0.1x=0.4(x-2)-0.2 equation: 


Simplifying
0.1x = 0.4(x + -2) + -0.2

Reorder the terms:
0.1x = 0.4(-2 + x) + -0.2
0.1x = (-2 * 0.4 + x * 0.4) + -0.2
0.1x = (-0.8 + 0.4x) + -0.2

Reorder the terms:
0.1x = -0.8 + -0.2 + 0.4x

Combine like terms: -0.8 + -0.2 = -1
0.1x = -1 + 0.4x

Solving
0.1x = -1 + 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.
0.1x + -0.4x = -1 + 0.4x + -0.4x

Combine like terms: 0.1x + -0.4x = -0.3x
-0.3x = -1 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.3x = -1 + 0.0
-0.3x = -1

Divide each side by '-0.3'.
x = 3.333333333

Simplifying
x = 3.333333333

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