Solve for x.

7 - (2x + 11) + 3 (3 - x) = 20

-3

-4

One number is five more than three times another. If their difference is 35, what is the larger number?

15

50

65

Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are there?

6

5

3

Step 1: Simplify both sides of the equation. 7 - (2x+11) + 3 (3-x) = 20 Simplify: (Hide steps) 7+-2x+-11 + (3) (3) + (3) (-x) = 20 (Distribute) 7+-2x+-11+9+-3x=20 (-2x+-3x) + (7+-11+9) = 20 (Combine Like Terms) - 5x+5=20 - 5x+5=20 Step 2: Subtract 5 from both sides. - 5x+5-5=20-5 - 5x=15 Step 3: Divide both sides by - 5. - 5x - 5 = 15 - 5 x=-3 3y+5 = x x-y = 35 x = 35+y 3y+5 = 35+y 3y-y = 30 y = 30/2 = 15. x = 35+15 = 50 7*6=42 So there are 6 toppings.