0.1(2x-4)=0.2(x-2)

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Solution for 0.1(2x-4)=0.2(x-2) equation: 


Simplifying
0.1(2x + -4) = 0.2(x + -2)

Reorder the terms:
0.1(-4 + 2x) = 0.2(x + -2)
(-4 * 0.1 + 2x * 0.1) = 0.2(x + -2)
(-0.4 + 0.2x) = 0.2(x + -2)

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

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

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

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

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

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

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

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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