You have just moved to a new town and are trying to select a bank. bank a offers a checking account for only $25 per month and requires you to keep a minimum balance of $100 in your account.
bank a also charges an overdraft fee of $20, offers the use of a debit card at no charge, and assesses an atm fee of $2.50 per use.
bank b offers a checking account for only $19 per month and requires you to keep a minimum balance of $50 in your account.
bank b also charges an overdraft fee of $20, offers the use of a debit card for $0.20 per transaction, and assesses an atm fee of $3 per use. if you typically have a balance of $250 in your account, use your debit card 25 times per month, and use the atm four times, which bank would be less expensive over time?

Bank A  would cost  305 dollars  and  Bank B would  cost 306 dollars.

Bank A  would be less expensive

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.