(3xy+7x)-(8xy+9x)=

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Solution for (3xy+7x)-(8xy+9x)= equation: 


Simplifying
(3xy + 7x) + -1(8xy + 9x) = 0

Reorder the terms:
(7x + 3xy) + -1(8xy + 9x) = 0

Remove parenthesis around (7x + 3xy)
7x + 3xy + -1(8xy + 9x) = 0

Reorder the terms:
7x + 3xy + -1(9x + 8xy) = 0
7x + 3xy + (9x * -1 + 8xy * -1) = 0
7x + 3xy + (-9x + -8xy) = 0

Reorder the terms:
7x + -9x + 3xy + -8xy = 0

Combine like terms: 7x + -9x = -2x
-2x + 3xy + -8xy = 0

Combine like terms: 3xy + -8xy = -5xy
-2x + -5xy = 0

Solving
-2x + -5xy = 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(2 + 5y) = 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 '(2 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

Solving
2 + 5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 0 + -2
5y = 0 + -2

Combine like terms: 0 + -2 = -2
5y = -2

Add '-5y' to each side of the equation.
5y + -5y = -2 + -5y

Combine like terms: 5y + -5y = 0
0 = -2 + -5y

Simplifying
0 = -2 + -5y

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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