.4(2x-3)=0.2x

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Solution for .4(2x-3)=0.2x equation: 


Simplifying
0.4(2x + -3) = 0.2x

Reorder the terms:
0.4(-3 + 2x) = 0.2x
(-3 * 0.4 + 2x * 0.4) = 0.2x
(-1.2 + 0.8x) = 0.2x

Solving
-1.2 + 0.8x = 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-1.2 + 0.8x + -0.2x = 0.2x + -0.2x

Combine like terms: 0.8x + -0.2x = 0.6x
-1.2 + 0.6x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-1.2 + 0.6x = 0.0

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.6x = 0.0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.6x = 0.0 + 1.2
0.6x = 0.0 + 1.2

Combine like terms: 0.0 + 1.2 = 1.2
0.6x = 1.2

Divide each side by '0.6'.
x = 2

Simplifying
x = 2

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