Hi there! With equations like this we want to get our variable on one side and and our constant on the other.
So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.
The problem given above can be solved through the concept of permutation because of the importance of the arrangements. This may be solved through calculators directly by keying in, 10P5 That is, the permutation of 10 taken 5. The answer to this permutation is 30,240.