For this case we must simplify the following expression and find the value of the variable "x":
[tex]3 (x-1) -8 = 4 (1 + x) +5[/tex]
We apply distributive property to the terms of parentheses:
[tex]3x-3-8 = 4 + 4x + 5[/tex]
We add similar terms:
[tex]3x-11 = 9 + 4x[/tex]
We subtract 4x on both sides:
[tex]3x-4x-11 = 9\\-x-11 = 9[/tex]
We add 11 to both sides:
[tex]-x = 11 + 9\\-x = 20\\x = -20[/tex]
Answer:
[tex]x = -20[/tex]