0.3(0.2-x)=1.2(x-0.4)

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Solution for 0.3(0.2-x)=1.2(x-0.4) equation: 


Simplifying
0.3(0.2 + -1x) = 1.2(x + -0.4)
(0.2 * 0.3 + -1x * 0.3) = 1.2(x + -0.4)
(0.06 + -0.3x) = 1.2(x + -0.4)

Reorder the terms:
0.06 + -0.3x = 1.2(-0.4 + x)
0.06 + -0.3x = (-0.4 * 1.2 + x * 1.2)
0.06 + -0.3x = (-0.48 + 1.2x)

Solving
0.06 + -0.3x = -0.48 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
0.06 + -0.3x + -1.2x = -0.48 + 1.2x + -1.2x

Combine like terms: -0.3x + -1.2x = -1.5x
0.06 + -1.5x = -0.48 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
0.06 + -1.5x = -0.48 + 0.0
0.06 + -1.5x = -0.48

Add '-0.06' to each side of the equation.
0.06 + -0.06 + -1.5x = -0.48 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + -1.5x = -0.48 + -0.06
-1.5x = -0.48 + -0.06

Combine like terms: -0.48 + -0.06 = -0.54
-1.5x = -0.54

Divide each side by '-1.5'.
x = 0.36

Simplifying
x = 0.36

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