Question

Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?

Answer 1

Hello from MrBillDoesMath!

Answer:

x = 7/8

Discussion:

3[x + 3(4x – 5)] = 15x – 24 =>

3x + (3*3)(4x-5) = 15x - 24  =>

3x + 9*(4x) - (3*3)*5 = 15x - 24 =>

3x + 36x  - 45 = 15x - 24  =>   (add 24 to each side)

3x + 36x - 45 + 45 = 15x - 24 + 45 =>

39x = 15x + 21  =>                    (as 45-24 = 21)

39x-15x = 21 =>                        (subtract 15x from both sides)

24x = 21 =>

x = 21/24 = -7/8

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer 2

I hope this will help