First of all, expand the left hand side:
[tex] 4x+4 - 7 < 3x + 5 [/tex]
Sum like terms:
[tex] 4x -3 < 3x + 5 [/tex]
Add 3 to both sides:
[tex] 4x < 3x + 8 [/tex]
Subtract 3x from both sides:
[tex] x < 8 [/tex]
So this is the solution. Every number smaller than 8 (excluded) is part of the solution of this inequality.
