Write an equation to find the number of students in Mr. Boggs' homeroom if the total number of students is 90. Teacher: Number of students
Mr. Boggs b
Mr. Hamilton 15(b+2)
Ms. Simpson 15
Mrs. Walton 2b-9

15(b+2) + 15 + 2b-9 +b = 90

Step-by-step explanation:

Essentially you add up all of the values and make it equal to 90, then solve for b

15(b+2) + 15 + 2b-9 +b = 90

15b + 30 + 15 + 2b - 9 + b = 90  

18b + 30 + 15 - 9 = 90

18b + 36 = 90

18b = 54

b=3

16 is the absolute value

step-by-step explanation:

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 .