5x+3-4=6x+5xy

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Solution for 5x+3-4=6x+5xy equation:


Simplifying
5x + 3 + -4 = 6x + 5xy

Reorder the terms:
3 + -4 + 5x = 6x + 5xy

Combine like terms: 3 + -4 = -1
-1 + 5x = 6x + 5xy

Solving
-1 + 5x = 6x + 5xy

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 5x + -6x = 6x + -6x + 5xy

Combine like terms: 5x + -6x = -1x
-1 + -1x = 6x + -6x + 5xy

Combine like terms: 6x + -6x = 0
-1 + -1x = 0 + 5xy
-1 + -1x = 5xy

Add '-5xy' to each side of the equation.
-1 + -1x + -5xy = 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-1 + -1x + -5xy = 0

Add '1' to each side of the equation.
-1 + -1x + 1 + -5xy = 0 + 1

Reorder the terms:
-1 + 1 + -1x + -5xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x + -5xy = 0 + 1
-1x + -5xy = 0 + 1

Combine like terms: 0 + 1 = 1
-1x + -5xy = 1

Reorder the terms:
-1 + -1x + -5xy = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1x + -5xy = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + x + 5xy) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + x + 5xy)' equal to zero and attempt to solve: Simplifying 1 + x + 5xy = 0 Solving 1 + x + 5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + 5xy = 0 + -1 Reorder the terms: 1 + -1 + x + 5xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + 5xy = 0 + -1 x + 5xy = 0 + -1 Combine like terms: 0 + -1 = -1 x + 5xy = -1 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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