0=0.4*(-2)+0.6*(6*X-3*(1-X)-2)

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Solution for 0=0.4*(-2)+0.6*(6*X-3*(1-X)-2) equation: 


Simplifying
0 = 0.4(-2) + 0.6(6X + -3(1 + -1X) + -2)

Multiply 0.4 * -2
0 = -0.8 + 0.6(6X + -3(1 + -1X) + -2)
0 = -0.8 + 0.6(6X + (1 * -3 + -1X * -3) + -2)
0 = -0.8 + 0.6(6X + (-3 + 3X) + -2)

Reorder the terms:
0 = -0.8 + 0.6(-3 + -2 + 6X + 3X)

Combine like terms: -3 + -2 = -5
0 = -0.8 + 0.6(-5 + 6X + 3X)

Combine like terms: 6X + 3X = 9X
0 = -0.8 + 0.6(-5 + 9X)
0 = -0.8 + (-5 * 0.6 + 9X * 0.6)
0 = -0.8 + (-3 + 5.4X)

Combine like terms: -0.8 + -3 = -3.8
0 = -3.8 + 5.4X

Solving
0 = -3.8 + 5.4X

Solving for variable 'X'.

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

Add '-5.4X' to each side of the equation.
0 + -5.4X = -3.8 + 5.4X + -5.4X
Remove the zero:
-5.4X = -3.8 + 5.4X + -5.4X

Combine like terms: 5.4X + -5.4X = 0.0
-5.4X = -3.8 + 0.0
-5.4X = -3.8

Divide each side by '-5.4'.
X = 0.7037037037

Simplifying
X = 0.7037037037

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