0=0.8*(-2)+0.2*(6*X-3*(1-X)-2)

Solution for 0=0.8*(-2)+0.2*(6*X-3*(1-X)-2) equation:

Simplifying
0 = 0.8(-2) + 0.2(6X + -3(1 + -1X) + -2)

Multiply 0.8 * -2
0 = -1.6 + 0.2(6X + -3(1 + -1X) + -2)
0 = -1.6 + 0.2(6X + (1 * -3 + -1X * -3) + -2)
0 = -1.6 + 0.2(6X + (-3 + 3X) + -2)

Reorder the terms:
0 = -1.6 + 0.2(-3 + -2 + 6X + 3X)

Combine like terms: -3 + -2 = -5
0 = -1.6 + 0.2(-5 + 6X + 3X)

Combine like terms: 6X + 3X = 9X
0 = -1.6 + 0.2(-5 + 9X)
0 = -1.6 + (-5 * 0.2 + 9X * 0.2)
0 = -1.6 + (-1 + 1.8X)

Combine like terms: -1.6 + -1 = -2.6
0 = -2.6 + 1.8X

Solving
0 = -2.6 + 1.8X

Solving for variable 'X'.

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

Add '-1.8X' to each side of the equation.
0 + -1.8X = -2.6 + 1.8X + -1.8X
Remove the zero:
-1.8X = -2.6 + 1.8X + -1.8X

Combine like terms: 1.8X + -1.8X = 0.0
-1.8X = -2.6 + 0.0
-1.8X = -2.6

Divide each side by '-1.8'.
X = 1.444444444

Simplifying
X = 1.444444444