ax+6=9x+b

Solution for ax+6=9x+b equation:

Simplifying
ax + 6 = 9x + b

Reorder the terms:
6 + ax = 9x + b

Reorder the terms:
6 + ax = b + 9x

Solving
6 + ax = b + 9x

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + ax = b + -6 + 9x

Combine like terms: 6 + -6 = 0
0 + ax = b + -6 + 9x
ax = b + -6 + 9x

Reorder the terms:
ax = -6 + b + 9x

Divide each side by 'x'.
a = -6x-1 + bx-1 + 9

Simplifying
a = -6x-1 + bx-1 + 9

Reorder the terms:
a = 9 + bx-1 + -6x-1