we have
Combine like terms in both sides
we know that
substitute in the expression above
-----> equation A
Multiply equation A by both sides
---------> equation B
Group terms that contain the same variable, and move the constant to the opposite side of the equation
---------> equation C
Solve for x
We are going to proceed to verify each case to determine the solution.
<u>Case a)</u>
the case a) is equal to the equation A
so
the case a) have the same solution that the given equation
<u>Case b)</u>
Combine like terms in left side
the case b) is equal to the equation B
so
the case b) have the same solution that the given equation
<u>Case c)</u>
Combine like terms in left side
therefore
the case c) not have the same solution that the given equation
<u>Case d)</u>
Combine like terms in left side
the case d) is equal to the equation C
so
the case d) have the same solution that the given equation
<u>Case e)</u>
Combine like terms in left side
therefore
the case e) not have the same solution that the given equation
therefore
<u>the answer is</u>
case a)
case b)
case d)