The given expression is
[tex]4(x+2)+x+1=2x-3+3(x+4)[/tex]First, we use the distributive property
[tex]4x+8+x+1=2x-3+3x+12[/tex]Second, we reduce like terms
[tex]5x+9=5x+9[/tex]As you can observe, both side of the equations are equal, that means the equation has infinitely many solutions.