ax+b=cx+dforc

Solution for ax+b=cx+dforc equation:

Simplifying
ax + b = cx + dforc

Reorder the terms:
ax + b = cdfor + cx

Solving
ax + b = cdfor + cx

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b = cdfor + -1b + cx

Combine like terms: b + -1b = 0
ax + 0 = cdfor + -1b + cx
ax = cdfor + -1b + cx

Reorder the terms:
ax = -1b + cdfor + cx

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

Simplifying
a = -1bx-1 + cdforx-1 + c

Reorder the terms:
a = -1bx-1 + c + cdforx-1