MATH HELP!!! 2(3x - 4) = -3(x - 8)?

6x-8=-3x+24
9x=32
x=3 5/9 or 32/9

6 x - 8 = - 3 x + 24
9x = 32
x = 32 / 9

CHECK

LHS = 2 (32/3 - 4) = 2 (20/3) = 40/3
RHS = - 3 (32/9 - 72/9) = - 3 (- 40/9) = 40/3

To solve this problem you must solve it in a specific order to get the right answer, the order is called
"PEMDAS "
First solve all the...
1. P.arenthases
Then solve the....
2. E.xponets
Then......
3. M.ultiplecation
4. D.ivision
5. A.ddition
6. S.ubtraction

& you'd get your answer

2(3x - 4) = -3(x - 8)
2*3x - 2*4 = -3*x + 3*8
6x - 8 = -3x + 24
6x + 3x = 8 + 24
9x = 32
x = 32/9

6x - 8 = -3x + 24

9x + 8 = 24
subtract 8
9x = 16
x= 1 7/9
you check the work not me l

try and get x by itself

6x - 8 = -3x + 24 ; distributive property
9x = 32
x = 32/9

Basically you just need to expand by multiplying through and isolate the x to get the answer. So you get:

6x - 8 = -3x + 24
=> 9x = 32
=> x = 32/9

2(3x - 4) = -3(x - 8)
6x - 8 = -3x + 24
9x = 32
x = 32/9

2(3x - 4) = -3(x - 8)

Expand both sides:
6x - 8 = -3x + 24

Add 3x to both sides:
9x - 8 = 24

Add 8 to both sides:
9x = 32

Divide by 9:
x = 32/9


CHECK:
2(3(32/9) - 4) = -3(32/9 - 8)

2(32/3 - 4) = -3(-40/9)

2(20/3) = 40/3

40/3 = 40/3
CHECK

x = 32 / 9

good luck