2(3(x+y)-4(4x-5y))=

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Solution for 2(3(x+y)-4(4x-5y))= equation: 


Simplifying
2(3(x + y) + -4(4x + -5y)) = 0
2((x * 3 + y * 3) + -4(4x + -5y)) = 0
2((3x + 3y) + -4(4x + -5y)) = 0
2(3x + 3y + (4x * -4 + -5y * -4)) = 0
2(3x + 3y + (-16x + 20y)) = 0

Reorder the terms:
2(3x + -16x + 3y + 20y) = 0

Combine like terms: 3x + -16x = -13x
2(-13x + 3y + 20y) = 0

Combine like terms: 3y + 20y = 23y
2(-13x + 23y) = 0
(-13x * 2 + 23y * 2) = 0
(-26x + 46y) = 0

Solving
-26x + 46y = 0

Solving for variable 'x'.

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

Add '-46y' to each side of the equation.
-26x + 46y + -46y = 0 + -46y

Combine like terms: 46y + -46y = 0
-26x + 0 = 0 + -46y
-26x = 0 + -46y
Remove the zero:
-26x = -46y

Divide each side by '-26'.
x = 1.769230769y

Simplifying
x = 1.769230769y

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