(7x-5x)-(6x-3x+xy)=

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Solution for (7x-5x)-(6x-3x+xy)= equation: 


Simplifying
(7x + -5x) + -1(6x + -3x + xy) = 0

Combine like terms: 7x + -5x = 2x
(2x) + -1(6x + -3x + xy) = 0
(2x) + -1(6x + -3x + xy) = 0

Combine like terms: 6x + -3x = 3x
(2x) + -1(3x + xy) = 0
(2x) + (3x * -1 + xy * -1) = 0
(2x) + (-3x + -1xy) = 0

Combine like terms: (2x) + -3x = -1x
-1x + -1xy = 0

Solving
-1x + -1xy = 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), '-1x'.
-1x(1 + y) = 0

Ignore the factor -1.

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

Simplifying
1 + y = 0

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

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

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

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

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

Simplifying
0 = -1 + -1y

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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