ax+b=a-bx

Solution for ax+b=a-bx equation:

Simplifying
ax + b = a + -1bx

Solving
ax + b = a + -1bx

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.
ax + -1a + b = a + -1a + -1bx

Reorder the terms:
-1a + ax + b = a + -1a + -1bx

Combine like terms: a + -1a = 0
-1a + ax + b = 0 + -1bx
-1a + ax + b = -1bx

Add '-1b' to each side of the equation.
-1a + ax + b + -1b = -1b + -1bx

Combine like terms: b + -1b = 0
-1a + ax + 0 = -1b + -1bx
-1a + ax = -1b + -1bx

Reorder the terms:
-1a + ax + b + bx = -1b + b + -1bx + bx

Combine like terms: -1b + b = 0
-1a + ax + b + bx = 0 + -1bx + bx
-1a + ax + b + bx = -1bx + bx

Combine like terms: -1bx + bx = 0
-1a + ax + b + bx = 0

The solution to this equation could not be determined.