2(x-3)+3y=5y-2(3-5x)fory

Solution for 2(x-3)+3y=5y-2(3-5x)fory equation:

Simplifying
2(x + -3) + 3y = 5y + -2(3 + -5x) * fory

Reorder the terms:
2(-3 + x) + 3y = 5y + -2(3 + -5x) * fory
(-3 * 2 + x * 2) + 3y = 5y + -2(3 + -5x) * fory
(-6 + 2x) + 3y = 5y + -2(3 + -5x) * fory

Reorder the terms for easier multiplication:
-6 + 2x + 3y = 5y + -2fory(3 + -5x)
-6 + 2x + 3y = 5y + (3 * -2fory + -5x * -2fory)

Reorder the terms:
-6 + 2x + 3y = 5y + (10forxy + -6fory)
-6 + 2x + 3y = 5y + (10forxy + -6fory)

Reorder the terms:
-6 + 2x + 3y = 10forxy + -6fory + 5y

Solving
-6 + 2x + 3y = 10forxy + -6fory + 5y

Solving for variable 'x'.

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

Add '-10forxy' to each side of the equation.
-6 + 2x + -10forxy + 3y = 10forxy + -6fory + -10forxy + 5y

Reorder the terms:
-6 + -10forxy + 2x + 3y = 10forxy + -6fory + -10forxy + 5y

Reorder the terms:
-6 + -10forxy + 2x + 3y = 10forxy + -10forxy + -6fory + 5y

Combine like terms: 10forxy + -10forxy = 0
-6 + -10forxy + 2x + 3y = 0 + -6fory + 5y
-6 + -10forxy + 2x + 3y = -6fory + 5y

Add '6' to each side of the equation.
-6 + -10forxy + 2x + 6 + 3y = -6fory + 6 + 5y

Reorder the terms:
-6 + 6 + -10forxy + 2x + 3y = -6fory + 6 + 5y

Combine like terms: -6 + 6 = 0
0 + -10forxy + 2x + 3y = -6fory + 6 + 5y
-10forxy + 2x + 3y = -6fory + 6 + 5y

Reorder the terms:
-10forxy + 2x + 3y = 6 + -6fory + 5y

Add '-3y' to each side of the equation.
-10forxy + 2x + 3y + -3y = 6 + -6fory + 5y + -3y

Combine like terms: 3y + -3y = 0
-10forxy + 2x + 0 = 6 + -6fory + 5y + -3y
-10forxy + 2x = 6 + -6fory + 5y + -3y

Combine like terms: 5y + -3y = 2y
-10forxy + 2x = 6 + -6fory + 2y

Reorder the terms:
-6 + -10forxy + 6fory + 2x + -2y = 6 + -6fory + 2y + -6 + 6fory + -2y

Reorder the terms:
-6 + -10forxy + 6fory + 2x + -2y = 6 + -6 + -6fory + 6fory + 2y + -2y

Combine like terms: 6 + -6 = 0
-6 + -10forxy + 6fory + 2x + -2y = 0 + -6fory + 6fory + 2y + -2y
-6 + -10forxy + 6fory + 2x + -2y = -6fory + 6fory + 2y + -2y

Combine like terms: -6fory + 6fory = 0
-6 + -10forxy + 6fory + 2x + -2y = 0 + 2y + -2y
-6 + -10forxy + 6fory + 2x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + -10forxy + 6fory + 2x + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -5forxy + 3fory + x + -1y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -5forxy + 3fory + x + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -5forxy + 3fory + x + -1y = 0

Solving
-3 + -5forxy + 3fory + x + -1y = 0

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

Add '3' to each side of the equation.
-3 + -5forxy + 3fory + x + 3 + -1y = 0 + 3

Reorder the terms:
-3 + 3 + -5forxy + 3fory + x + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5forxy + 3fory + x + -1y = 0 + 3
-5forxy + 3fory + x + -1y = 0 + 3

Combine like terms: 0 + 3 = 3
-5forxy + 3fory + x + -1y = 3

Add '-3fory' to each side of the equation.
-5forxy + 3fory + x + -3fory + -1y = 3 + -3fory

Reorder the terms:
-5forxy + 3fory + -3fory + x + -1y = 3 + -3fory

Combine like terms: 3fory + -3fory = 0
-5forxy + 0 + x + -1y = 3 + -3fory
-5forxy + x + -1y = 3 + -3fory

Add 'y' to each side of the equation.
-5forxy + x + -1y + y = 3 + -3fory + y

Combine like terms: -1y + y = 0
-5forxy + x + 0 = 3 + -3fory + y
-5forxy + x = 3 + -3fory + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.