ax+6=bx-2

Solution for ax+6=bx-2 equation:

Simplifying
ax + 6 = bx + -2

Reorder the terms:
6 + ax = bx + -2

Reorder the terms:
6 + ax = -2 + bx

Solving
6 + ax = -2 + bx

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 = -2 + -6 + bx

Combine like terms: 6 + -6 = 0
0 + ax = -2 + -6 + bx
ax = -2 + -6 + bx

Combine like terms: -2 + -6 = -8
ax = -8 + bx

Divide each side by 'x'.
a = -8x-1 + b

Simplifying
a = -8x-1 + b

Reorder the terms:
a = b + -8x-1