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

Hello from MrBillDoesMath!

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!

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: 1 + 1 = 11

step-by-step explanation: