(-3x+4xy)-(2x-4xy)=

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


Simplifying
(-3x + 4xy) + -1(2x + -4xy) = 0

Remove parenthesis around (-3x + 4xy)
-3x + 4xy + -1(2x + -4xy) = 0
-3x + 4xy + (2x * -1 + -4xy * -1) = 0
-3x + 4xy + (-2x + 4xy) = 0

Reorder the terms:
-3x + -2x + 4xy + 4xy = 0

Combine like terms: -3x + -2x = -5x
-5x + 4xy + 4xy = 0

Combine like terms: 4xy + 4xy = 8xy
-5x + 8xy = 0

Solving
-5x + 8xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 8y) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5 + 8y)' equal to zero and attempt to solve:

Simplifying
-5 + 8y = 0

Solving
-5 + 8y = 0

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

Add '5' to each side of the equation.
-5 + 5 + 8y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 8y = 0 + 5
8y = 0 + 5

Combine like terms: 0 + 5 = 5
8y = 5

Add '-8y' to each side of the equation.
8y + -8y = 5 + -8y

Combine like terms: 8y + -8y = 0
0 = 5 + -8y

Simplifying
0 = 5 + -8y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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