Solve for x and state any restrictions:

cx-b=ax+d

Let us first write down the equation that is given and then go for solving it.

cx - b = ax + d

cx - ax = d + b

x (c - a) = d + b

x = (d + b) / (c - a)

Only restriction is that a cannot be equal to c. The reason behind such a restriction is that if c and a becomes equal, then the denominator will become zero and the value of x will come down to zero.