x+7xy-3xy=2x

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Solution for x+7xy-3xy=2x equation: 


Simplifying
x + 7xy + -3xy = 2x

Combine like terms: 7xy + -3xy = 4xy
x + 4xy = 2x

Solving
x + 4xy = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
x + -2x + 4xy = 2x + -2x

Combine like terms: x + -2x = -1x
-1x + 4xy = 2x + -2x

Combine like terms: 2x + -2x = 0
-1x + 4xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 4y) = 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 '(-1 + 4y)' equal to zero and attempt to solve:

Simplifying
-1 + 4y = 0

Solving
-1 + 4y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4y = 0 + 1
4y = 0 + 1

Combine like terms: 0 + 1 = 1
4y = 1

Add '-4y' to each side of the equation.
4y + -4y = 1 + -4y

Combine like terms: 4y + -4y = 0
0 = 1 + -4y

Simplifying
0 = 1 + -4y

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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