There are 17 rows of seats in a cinema. There are 22 seats in each row. A film was shown in the cinema on friday night. Each ticket for a film cost £7.50. The sale of the tickets that night made was £2587.50

29

Step-by-step explanation:

Here is the full question

There are 17 rows of seats in a cinema. There are 22 seats in each row. A film was shown in the cinema on friday night. Each ticket for the film cost £7.50

The sale of tickets for that night made £2587.50

How many tickets were not sold

Total number of seats = 17 x 22 = 374

Number of tickets sold = £2587.50 / £7.50 = 345

So 345 people filled 345 seats

Unoccupied seats = 374 - 345 = 29

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .