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.
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.
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.
5x + 8 + x = 32
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.