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

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

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

Reorder the terms:
2x + x + 4xy + -1(-3x + -3xy) = 0
2x + x + 4xy + (-3x * -1 + -3xy * -1) = 0
2x + x + 4xy + (3x + 3xy) = 0

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

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

Combine like terms: 3x + 3x = 6x
6x + 4xy + 3xy = 0

Combine like terms: 4xy + 3xy = 7xy
6x + 7xy = 0

Solving
6x + 7xy = 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(6 + 7y) = 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 '(6 + 7y)' equal to zero and attempt to solve:

Simplifying
6 + 7y = 0

Solving
6 + 7y = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 0 + -6
7y = 0 + -6

Combine like terms: 0 + -6 = -6
7y = -6

Add '-7y' to each side of the equation.
7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
0 = -6 + -7y

Simplifying
0 = -6 + -7y

The solution to this equation could not be determined.

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