^{1} |
^{2} |
^{4} |
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^{2} |
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^{22} |

Place all of the digits 1-9 into the white boxes and one of the symbols (+ or -) into each of the gray boxes such that:

- Each of the six rows and columns have the same sum (other than 15). There's definitely a solution with a common sum of 5. Are there others?
- The sum of each row or column is equal to the noted number in its first square. For example, the third column will have a sum of 4, and the first row and column will both have a sum of 1.

Source: Original. [Thanks to Mark Rickert for updating part 2 to a solvable problem.]

Solution

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