2[3(X+y)-4(6x-5y)]=

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Solution for 2[3(X+y)-4(6x-5y)]= equation: 


Simplifying
2[3(X + y) + -4(6x + -5y)] = 0
2[(X * 3 + y * 3) + -4(6x + -5y)] = 0
2[(3X + 3y) + -4(6x + -5y)] = 0
2[3X + 3y + (6x * -4 + -5y * -4)] = 0
2[3X + 3y + (-24x + 20y)] = 0

Reorder the terms:
2[3X + -24x + 3y + 20y] = 0

Combine like terms: 3y + 20y = 23y
2[3X + -24x + 23y] = 0
[3X * 2 + -24x * 2 + 23y * 2] = 0
[6X + -48x + 46y] = 0

Solving
6X + -48x + 46y = 0

Solving for variable 'X'.

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

Add '48x' to each side of the equation.
6X + -48x + 48x + 46y = 0 + 48x

Combine like terms: -48x + 48x = 0
6X + 0 + 46y = 0 + 48x
6X + 46y = 0 + 48x
Remove the zero:
6X + 46y = 48x

Add '-46y' to each side of the equation.
6X + 46y + -46y = 48x + -46y

Combine like terms: 46y + -46y = 0
6X + 0 = 48x + -46y
6X = 48x + -46y

Divide each side by '6'.
X = 8x + -7.666666667y

Simplifying
X = 8x + -7.666666667y

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