ax+2=cx-6

Solution for ax+2=cx-6 equation:

Simplifying
ax + 2 = cx + -6

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

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

Solving
2 + ax = -6 + cx

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + ax = -6 + -2 + cx

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

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

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

Simplifying
a = -8x-1 + c

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