Thor received a bank account statement reporting the recent changes to his account. The statement showed an overall increase in the account balance of $1,642.86. During the time shown on the statement, Thor was paid twice and withdrew a total of $1688.48 to cover all his bills and expenses. How much (x) is each of Thor's paychecks? Write an equation to represent this situation. Do not simplify this equation.

If Thor was paid twice, and each paycheck is represented by 'x', his balance was increased by 2x (write positive 2x). Withdrawing money from the account will decrease the balance (write negative 1688.48). Equate the changes (paychecks and withdrawal) to the overall increase (= 1642.86).

1642.86 = 2x - 1688.48

Since we are finding x, rearrange the equation to isolate 'x'.

1642.86 + 1688.48 = 2x - 1688.48 + 1688.48 Add 1688.48 to both sides

3331.34 = 2x Solved left side operations. Right side cancelled out.

3331.34/2 = 2x/2 Divide both sides by 2

3331.34/2 = x Solve left side operations.

1665.67 = x Answer

x = 1665.67 Write variable on the left side for standard formatting

Therefore each of Thor's paychecks were $1,665.67.