What are the forms of linear equations corresponding to the four arithmetical operations ?

The 4 basic arithmetical operations are: addition,
subtraction, multiplication and division.

If we'll solve
any linear equation, we'll fall into one from the 4
forms.

For instance:

1) If x +
a = b, then we'll subtract a both sides, to isolate x to the left
side:

x = b - a

So, if a
number is added to the variable, to the left side of the equation, then it will be
subtracted to the other side.

2) If x - a = b, then
we'll add a both sides, to isolate x to the left side:

x =
b + a

So, if a number is subtracted from the variable, to
the left side of the equation, then it will be subtracted to the other
side.

3) If ax = b, then we'll divide both sides by
a.

x = b/a

4) If x/a = b, then
we'll multiply both sides by a:

x =
b*a

The 4 forms of linear equation,
corresponding to the four arithmetical operations, are: x-a=b ; x+a=b ; a*x=b ; x/a =
b.