2x+4x-6=3x(y)

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Solution for 2x+4x-6=3x(y) equation:


Simplifying
2x + 4x + -6 = 3x(y)

Reorder the terms:
-6 + 2x + 4x = 3x(y)

Combine like terms: 2x + 4x = 6x
-6 + 6x = 3x(y)

Multiply x * y
-6 + 6x = 3xy

Solving
-6 + 6x = 3xy

Solving for variable 'x'.

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

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

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

Add '6' to each side of the equation.
-6 + 6x + 6 + -3xy = 0 + 6

Reorder the terms:
-6 + 6 + 6x + -3xy = 0 + 6

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

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

Reorder the terms:
-6 + 6x + -3xy = 6 + -6

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 2x + -1xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + 2x + -1xy)' equal to zero and attempt to solve: Simplifying -2 + 2x + -1xy = 0 Solving -2 + 2x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2x + 2 + -1xy = 0 + 2 Reorder the terms: -2 + 2 + 2x + -1xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + -1xy = 0 + 2 2x + -1xy = 0 + 2 Combine like terms: 0 + 2 = 2 2x + -1xy = 2 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.

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