ab+c=bc-a

Solution for ab+c=bc-a equation:

Simplifying
ab + c = bc + -1a

Reorder the terms:
ab + c = -1a + bc

Solving
ab + c = -1a + bc

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
ab + a + c = -1a + a + bc

Reorder the terms:
a + ab + c = -1a + a + bc

Combine like terms: -1a + a = 0
a + ab + c = 0 + bc
a + ab + c = bc

Add '-1c' to each side of the equation.
a + ab + c + -1c = bc + -1c

Combine like terms: c + -1c = 0
a + ab + 0 = bc + -1c
a + ab = bc + -1c

Reorder the terms:
a + ab + -1bc + c = bc + -1bc + -1c + c

Combine like terms: bc + -1bc = 0
a + ab + -1bc + c = 0 + -1c + c
a + ab + -1bc + c = -1c + c

Combine like terms: -1c + c = 0
a + ab + -1bc + c = 0

The solution to this equation could not be determined.