(-3xy+x-2xz)-(5xy-7xz+x)=

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Solution for (-3xy+x-2xz)-(5xy-7xz+x)= equation: 


Simplifying
(-3xy + x + -2xz) + -1(5xy + -7xz + x) = 0

Reorder the terms:
(x + -3xy + -2xz) + -1(5xy + -7xz + x) = 0

Remove parenthesis around (x + -3xy + -2xz)
x + -3xy + -2xz + -1(5xy + -7xz + x) = 0

Reorder the terms:
x + -3xy + -2xz + -1(x + 5xy + -7xz) = 0
x + -3xy + -2xz + (x * -1 + 5xy * -1 + -7xz * -1) = 0
x + -3xy + -2xz + (-1x + -5xy + 7xz) = 0

Reorder the terms:
x + -1x + -3xy + -5xy + -2xz + 7xz = 0

Combine like terms: x + -1x = 0
0 + -3xy + -5xy + -2xz + 7xz = 0
-3xy + -5xy + -2xz + 7xz = 0

Combine like terms: -3xy + -5xy = -8xy
-8xy + -2xz + 7xz = 0

Combine like terms: -2xz + 7xz = 5xz
-8xy + 5xz = 0

Solving
-8xy + 5xz = 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(-8y + 5z) = 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 '(-8y + 5z)' equal to zero and attempt to solve:

Simplifying
-8y + 5z = 0

Solving
-8y + 5z = 0

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

Add '8y' to each side of the equation.
-8y + 8y + 5z = 0 + 8y

Combine like terms: -8y + 8y = 0
0 + 5z = 0 + 8y
5z = 0 + 8y
Remove the zero:
5z = 8y

Add '-5z' to each side of the equation.
5z + -5z = 8y + -5z

Combine like terms: 5z + -5z = 0
0 = 8y + -5z

Simplifying
0 = 8y + -5z

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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