Hello Samuel,
When doing math transpositions, our main goal is to combine like terms and have our variable in question on one side of the equation. In other words, get "x" to one side and everything else on the other side of the equal sign. Here is a step by step process for your question:
ax + 3 = bx + c
-bx -bx
_____________
ax - bx + 3 = c
-3 -3
_____________
ax - bx = c - 3
(Now I can simplify "ax - bx" by taking out the common variable "x")
x(a - b) = c - 3
(Now, since "x" is isolated, I can divide both sides by "(a - b)" and get my variable on one side while everything else is on the other side)
x = (c - 3) / (a - b)
I hope this helps!
