3 (1+x) = 2[3 (x+2) - (x+1) ]

3 + 3x = 2 (3x + 6 - x - 1)

3 + 3x = 2 (2x + 5)

3 + 3x = 4x + 10

x = - 7

x=-7

Step-by-step explanation:

3 (x+1) = 2[3 (x+2) - (x-1) ]

distribute the 3 and the - inside the brackets

3 (x+1) = 2[3x+6-x-1]

now distribute the three inside the parenthesis and the 2 inside the brackets

3x+3=6x+12-2x-2

combine like terms

3x+3=4x+10

subtract three from both sides and subtract 4x from both sides

-x=7

divide whole equation by - 1

-x/-1=7/-1

simplify

x=-7