x-a+2=ax-3x+5a

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Solution for x-a+2=ax-3x+5a equation: 


Simplifying
x + -1a + 2 = ax + -3x + 5a

Reorder the terms:
2 + -1a + x = ax + -3x + 5a

Reorder the terms:
2 + -1a + x = 5a + ax + -3x

Solving
2 + -1a + x = 5a + ax + -3x

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
2 + -1a + -5a + x = 5a + ax + -5a + -3x

Combine like terms: -1a + -5a = -6a
2 + -6a + x = 5a + ax + -5a + -3x

Reorder the terms:
2 + -6a + x = 5a + -5a + ax + -3x

Combine like terms: 5a + -5a = 0
2 + -6a + x = 0 + ax + -3x
2 + -6a + x = ax + -3x

Add '-1ax' to each side of the equation.
2 + -6a + -1ax + x = ax + -1ax + -3x

Combine like terms: ax + -1ax = 0
2 + -6a + -1ax + x = 0 + -3x
2 + -6a + -1ax + x = -3x

Add '-2' to each side of the equation.
2 + -6a + -1ax + -2 + x = -2 + -3x

Reorder the terms:
2 + -2 + -6a + -1ax + x = -2 + -3x

Combine like terms: 2 + -2 = 0
0 + -6a + -1ax + x = -2 + -3x
-6a + -1ax + x = -2 + -3x

Add '-1x' to each side of the equation.
-6a + -1ax + x + -1x = -2 + -3x + -1x

Combine like terms: x + -1x = 0
-6a + -1ax + 0 = -2 + -3x + -1x
-6a + -1ax = -2 + -3x + -1x

Combine like terms: -3x + -1x = -4x
-6a + -1ax = -2 + -4x

Reorder the terms:
2 + -6a + -1ax + 4x = -2 + -4x + 2 + 4x

Reorder the terms:
2 + -6a + -1ax + 4x = -2 + 2 + -4x + 4x

Combine like terms: -2 + 2 = 0
2 + -6a + -1ax + 4x = 0 + -4x + 4x
2 + -6a + -1ax + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -6a + -1ax + 4x = 0

The solution to this equation could not be determined.

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