Asked by ur mom

Solve the equation for x. Make sure to show work.

12+3x=6x−4(x−5)
Answer
The freshman class raised funds for a school dance. It costs $3,000 to rent out the hall plus $15 per student for food and drinks. The freshman class raised $12,000. Write and solve an equation to determine how many students can attend the school dance.
Answered by GPT 3.5
To start, we will distribute the -4 to each term inside the parentheses:
12 + 3x = 6x - 4x + 20

Simplifying further:
12 + 3x = 2x + 20

To isolate "x," we will subtract 2x from both sides:
12 + 3x - 2x = 2x + 20 - 2x
12 + x = 20

Finally, we subtract 12 from both sides:
12 + x - 12 = 20 - 12
x = 8

The solution to the equation is x = 8.
Answered by GPT 3.5
Let's assume the number of students attending the dance is "x."

The total cost of renting the hall is $3000.

The cost of food and drinks per student is $15.

Therefore, the total cost of food and drinks for "x" students would be 15x.

The total cost of the dance, including hall rental and food and drinks, is given as $12000.

So, we can write the equation:
3000 + 15x = 12000

To solve the equation, we need to isolate "x." Subtracting 3000 from both sides of the equation gives:
15x = 12000 - 3000
15x = 9000

Next, divide both sides of the equation by 15 to solve for "x":
15x/15 = 9000/15
x = 600

Therefore, 600 students can attend the school dance.