8xy+3x-5xy+6x=(3xy+3xy)-(3x+6x)

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Solution for 8xy+3x-5xy+6x=(3xy+3xy)-(3x+6x) equation: 


Simplifying
8xy + 3x + -5xy + 6x = (3xy + 3xy) + -1(3x + 6x)

Reorder the terms:
3x + 6x + 8xy + -5xy = (3xy + 3xy) + -1(3x + 6x)

Combine like terms: 3x + 6x = 9x
9x + 8xy + -5xy = (3xy + 3xy) + -1(3x + 6x)

Combine like terms: 8xy + -5xy = 3xy
9x + 3xy = (3xy + 3xy) + -1(3x + 6x)

Combine like terms: 3xy + 3xy = 6xy
9x + 3xy = (6xy) + -1(3x + 6x)
9x + 3xy = (6xy) + -1(3x + 6x)

Combine like terms: 3x + 6x = 9x
9x + 3xy = (6xy) + -1(9x)

Remove parenthesis around (9x)
9x + 3xy = (6xy) + -1 * 9x

Multiply -1 * 9
9x + 3xy = (6xy) + -9x

Reorder the terms:
9x + 3xy = -9x + (6xy)

Solving
9x + 3xy = -9x + (6xy)

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
9x + 9x + 3xy = -9x + 9x + (6xy)

Combine like terms: 9x + 9x = 18x
18x + 3xy = -9x + 9x + (6xy)

Combine like terms: -9x + 9x = 0
18x + 3xy = 0 + (6xy)
18x + 3xy = (6xy)

Add '(-6xy)' to each side of the equation.
18x + 3xy + (-6xy) = (6xy) + (-6xy)

Combine like terms: 3xy + (-6xy) = -3xy
18x + -3xy = (6xy) + (-6xy)

Combine like terms: (6xy) + (-6xy) = 0
18x + -3xy = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + -1y) = 0

Ignore the factor 3.

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 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 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 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Add 'y' to each side of the equation.
-1y + y = -6 + y

Combine like terms: -1y + y = 0
0 = -6 + y

Simplifying
0 = -6 + y

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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