2x+5=cx+3-4x+2

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Solution for 2x+5=cx+3-4x+2 equation: 


Simplifying
2x + 5 = cx + 3 + -4x + 2

Reorder the terms:
5 + 2x = cx + 3 + -4x + 2

Reorder the terms:
5 + 2x = 3 + 2 + cx + -4x

Combine like terms: 3 + 2 = 5
5 + 2x = 5 + cx + -4x

Add '-5' to each side of the equation.
5 + -5 + 2x = 5 + cx + -5 + -4x

Combine like terms: 5 + -5 = 0
0 + 2x = 5 + cx + -5 + -4x
2x = 5 + cx + -5 + -4x

Reorder the terms:
2x = 5 + -5 + cx + -4x

Combine like terms: 5 + -5 = 0
2x = 0 + cx + -4x
2x = cx + -4x

Solving
2x = cx + -4x

Solving for variable 'x'.

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

Add '-1cx' to each side of the equation.
-1cx + 2x = cx + -1cx + -4x

Combine like terms: cx + -1cx = 0
-1cx + 2x = 0 + -4x
-1cx + 2x = -4x

Add '4x' to each side of the equation.
-1cx + 2x + 4x = -4x + 4x

Combine like terms: 2x + 4x = 6x
-1cx + 6x = -4x + 4x

Combine like terms: -4x + 4x = 0
-1cx + 6x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1c + 6) = 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 '(-1c + 6)' equal to zero and attempt to solve:

Simplifying
-1c + 6 = 0

Reorder the terms:
6 + -1c = 0

Solving
6 + -1c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Add 'c' to each side of the equation.
-1c + c = -6 + c

Combine like terms: -1c + c = 0
0 = -6 + c

Simplifying
0 = -6 + c

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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