Sometimes, the equation will not start out simplified. If this is the case, simplify the equation before reversing the operations.
Example 4: Solve for x: 6x - 5 - 2x + 3 - 2 = 4
First, simplify the equation by combining like terms: 4x - 4 = 4
- Reverse subtraction: 4x - 4 + 4 = 4 + 4
4x = 8
- Reverse multiplication:
=
x = 2
- No parentheses.
Check:
6(2) + 5 - 2(2) - 3 + 2 = 12 - 5 - 4 + 3 - 2 = 4
Thus,
x = 2