The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:
-2x + 5x = 8 + 4
Next, simplify both sides:
3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.
Answer:
The solution to your inquiry can be found below
Step-by-step explanation:
First method
20 = 5(-3 + x) expanding this equation
20 = -15 + 5x combine like terms
5x = 20 + 15
5x = 35 dividing by 5
5x/5 = 35/5
x = 7
Second method
20/5 = 5/5 (-3 + x) divide both sides by 5
4 = -3 + x adding 3 to both sides
4 + 3 = -3 + 3 + x simplifying
7 = x
To tackle this problem, we first need to ascertain the commission taken by the pizza shop and how much money belongs to Mindy. We know that Mindy sells her artwork for $15, and the pizza shop retains a 15% commission. Therefore, the commission is calculated as (15/100) * 15, which equals 2.25 dollars. This means the pizza shop deducts $2.25 from each art sale made by Mindy. Consequently, the amount Mindy receives is (15 - 2.25), resulting in $12.75. Since Mindy opts not for cash but instead chooses a pizza valued at $12, including a 5% sales tax, it seems she benefits by $0.75 plus the pizza worth $12. Therefore, this arrangement appears fair for Mindy. Meanwhile, the pizza shop also makes an additional $2.25 from this transaction, making it equitable for both Mindy and the shop owner.