0=0.75*(-2)+0.25*(6*X-3*(1-X)-2)

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Solution for 0=0.75*(-2)+0.25*(6*X-3*(1-X)-2) equation: 


Simplifying
0 = 0.75(-2) + 0.25(6X + -3(1 + -1X) + -2)

Multiply 0.75 * -2
0 = -1.5 + 0.25(6X + -3(1 + -1X) + -2)
0 = -1.5 + 0.25(6X + (1 * -3 + -1X * -3) + -2)
0 = -1.5 + 0.25(6X + (-3 + 3X) + -2)

Reorder the terms:
0 = -1.5 + 0.25(-3 + -2 + 6X + 3X)

Combine like terms: -3 + -2 = -5
0 = -1.5 + 0.25(-5 + 6X + 3X)

Combine like terms: 6X + 3X = 9X
0 = -1.5 + 0.25(-5 + 9X)
0 = -1.5 + (-5 * 0.25 + 9X * 0.25)
0 = -1.5 + (-1.25 + 2.25X)

Combine like terms: -1.5 + -1.25 = -2.75
0 = -2.75 + 2.25X

Solving
0 = -2.75 + 2.25X

Solving for variable 'X'.

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

Add '-2.25X' to each side of the equation.
0 + -2.25X = -2.75 + 2.25X + -2.25X
Remove the zero:
-2.25X = -2.75 + 2.25X + -2.25X

Combine like terms: 2.25X + -2.25X = 0.00
-2.25X = -2.75 + 0.00
-2.25X = -2.75

Divide each side by '-2.25'.
X = 1.222222222

Simplifying
X = 1.222222222

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