X–2(x+1)+3(x+2)=x–4
(show work too please)

x = -12

Step-by-step explanation:

x-2(x+1)+3(x+2) = x-4 (equation)

x-2x+2+3x+6 = x-4 (simplify)

2x+8 = x-4 (combine like terms)

x+8 = -4 (subtract x from both sides)

x = -12 (subtract 8 from both sides)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.