ax+y+1=a-x

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Solution for ax+y+1=a-x equation:


Simplifying
ax + y + 1 = a + -1x

Reorder the terms:
1 + ax + y = a + -1x

Solving
1 + ax + y = a + -1x

Solving for variable 'a'.

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

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

Reorder the terms:
1 + -1a + ax + y = a + -1a + -1x

Combine like terms: a + -1a = 0
1 + -1a + ax + y = 0 + -1x
1 + -1a + ax + y = -1x

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

Reorder the terms:
1 + -1 + -1a + ax + y = -1 + -1x

Combine like terms: 1 + -1 = 0
0 + -1a + ax + y = -1 + -1x
-1a + ax + y = -1 + -1x

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

Combine like terms: y + -1y = 0
-1a + ax + 0 = -1 + -1x + -1y
-1a + ax = -1 + -1x + -1y

Reorder the terms:
1 + -1a + ax + x + y = -1 + -1x + -1y + 1 + x + y

Reorder the terms:
1 + -1a + ax + x + y = -1 + 1 + -1x + x + -1y + y

Combine like terms: -1 + 1 = 0
1 + -1a + ax + x + y = 0 + -1x + x + -1y + y
1 + -1a + ax + x + y = -1x + x + -1y + y

Combine like terms: -1x + x = 0
1 + -1a + ax + x + y = 0 + -1y + y
1 + -1a + ax + x + y = -1y + y

Combine like terms: -1y + y = 0
1 + -1a + ax + x + y = 0

The solution to this equation could not be determined.

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