A linear equation can have exactly one solution, infinitely many solutions, or no solution.
If a linear equation can be transformed to the form x = a, where x is a variable and a is some number, then the equation has exactly one solution.
If a linear equation can be transformed to the form a = a, where a is some number, then the equation has infinitely many solutions.
If a linear equation can be transformed to the form a = b, where a and b are different numbers, then the equation has no solution.
Simplify the equation until it is in the form x = a, a = a, or a = b.
| 2 + 4x + 20 | = | 6x + 22 - 2x |
| 4x + 22 | = | 6x + 22 - 2x |
| 4x + 22 | = | 4x + 22 |
| 4x + 22 - 4x | = | 4x + 22 - 4x |
| 22 | = | 22 |
The equation simplifies to 22 = 22, which is in the form a = a.
So, the equation has infinitely many solutions.