$\"\"$

Let x be the total number of games.

The total amount of money is 16.75 dollars.

The rent for shoes is 1.50 dollars.

The amount for one game is 2.50 dollars.

The amount for x games is 2.50x dollars.

The words $\"\"$ the total amount of money is equals to the sum of shoe rent and the amount for x games $\"\"$ represents the equation is $\"\"$ . $\"\"$

The equation is $\"\"$ .

Subtract 1.50 from each side.

$\"\"$

Divide each side by 2.50.

$\"\"$

Apply division property of equality: Divide each side by 4.

$\"\"$

$\"\"$ (Cancel common terms) $\"\"$

The solution is $\"\"$ .