Solve 2(4x – 3) = 2(x + 2) + 8 for x. a. x = –2 b. x = 4 c. x = 3 d. x = –5

C

Step-by-step explanation:

Solve the equation by applying the distributive property and combine like terms. Then use inverse operations to isolate the variable.

2(4x – 3) = 2(x + 2) + 8           Distributive Property

8x - 6 = 2x + 4 + 8                  Add 4 + 8

8x - 6 = 2x + 12                       Add 6 to both sides

8x = 2x + 12 + 6                      Add 12 + 6

8x = 2x + 18                            Subtract 2x from both sides

8x - 2x = 18                             Subtract 8x - 2x

6x = 18                                    Divide by 6

x = 3

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18