5(2x + 2) - 4 = 2x + 6

Answer 1

10x + 10 - 4 = 2x + 6

10x + 6 = 2x + 6

Subtract 2x from both sides:

8x + 6 = 6

Subtract 6 from both sides:

8x = 0

Divide by 8:

x = 0

Therefore, x = 0.

Answer 2

Does this equation have one none or infinite solutions?

Answer 3

This equation has one solution, which is x = 0.

Answer 4

Sammy and her 3 cousins split their winnings from bingo evenly. She paid $25 to get a ride home if she had 475 when she got home. How much money did they win all together?

Answer 5

If Sammy paid $25 for a ride home and had $475 when she got home, then the total amount of winnings is:

475 + 25 = $500

Since Sammy and her 3 cousins split their winnings evenly, the total amount of money they won together is:

500 * 4 = $2,000

Therefore, Sammy and her 3 cousins won a total of $2,000 all together.

Answer 6

Solve the following equation for x then check your answer. Show your steps for solving and checking.

5x + 8 + x = 32

Answer 7

To solve the equation 5x + 8 + x = 32, we first combine the like terms on the left side:

5x + x + 8 = 32
6x + 8 = 32

Next, we isolate the x term by subtracting 8 from both sides:

6x = 32 - 8
6x = 24

Now, divide both sides by the coefficient of x (6) to solve for x:

x = 24 / 6
x = 4

Therefore, the solution to the equation is x = 4.

To check this solution, substitute x = 4 back into the original equation and see if both sides are equal:

5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32

Since both sides are equal, the solution x = 4 is correct.