ax-c=c(x-d)

Solution for ax-c=c(x-d) equation:

Simplifying
ax + -1c = c(x + -1d)

Reorder the terms:
ax + -1c = c(-1d + x)
ax + -1c = (-1d * c + x * c)
ax + -1c = (-1cd + cx)

Solving
ax + -1c = -1cd + cx

Solving for variable 'a'.

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

Add 'c' to each side of the equation.
ax + -1c + c = -1cd + c + cx

Combine like terms: -1c + c = 0
ax + 0 = -1cd + c + cx
ax = -1cd + c + cx

Reorder the terms:
ax = c + -1cd + cx

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

Simplifying
a = cx-1 + -1cdx-1 + c

Reorder the terms:
a = c + -1cdx-1 + cx-1