ax+b+x=c

Solution for ax+b+x=c equation:

Simplifying
ax + b + x = c

Solving
ax + b + x = c

Solving for variable 'a'.

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

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

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

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

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

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

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

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