Mya is buying juice boxes for her party. which offer should mya choose to get the lowest price per juice box? 1.) 2 juice boxes for $0.66 2.) 6 juice boxes for $1.92 3.) 9 juice boxes for $2.97 4.) 12 juice boxes for $4.20

For this case we must find the unit cost of juice box of each option and compare:

Option A: 2 juice boxes for $ 0.66

Option B: 6 juice boxes for $ 1.92

Option C: 9 juice boxes for $ 2.97

Option D: 12 juice boxes for $ 4.20

The most feasible option is B. That is, buy 6 boxes for $1.92

Option B

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 .