ax-bx-d=c

Solution for ax-bx-d=c equation:

Simplifying
ax + -1bx + -1d = c

Solving
ax + -1bx + -1d = c

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
ax + -1bx + bx + -1d = bx + c

Combine like terms: -1bx + bx = 0
ax + 0 + -1d = bx + c
ax + -1d = bx + c

Add 'd' to each side of the equation.
ax + -1d + d = bx + c + d

Combine like terms: -1d + d = 0
ax + 0 = bx + c + d
ax = bx + c + d

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

Simplifying
a = b + cx-1 + dx-1