a*x-b=x+c

Solution for a*x-b=x+c equation:

Simplifying
a * x + -1b = x + c

Multiply a * x
ax + -1b = x + c

Reorder the terms:
ax + -1b = c + x

Solving
ax + -1b = c + x

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
ax + -1b + b = c + b + x

Combine like terms: -1b + b = 0
ax + 0 = c + b + x
ax = c + b + x

Reorder the terms:
ax = b + c + x

Divide each side by 'x'.
a = bx-1 + cx-1 + 1

Simplifying
a = bx-1 + cx-1 + 1

Reorder the terms:
a = 1 + bx-1 + cx-1