Question 9490
{{{-(x-3)+2(x-1) < 3(x+4)}}} <----- Start here


{{{ -x + 3 + 2x - 2 < 3x + 12 }}} <----- distribute to get rid of parentheses


{{{ -x + 1 < 3x + 12 }}} <----- combine like terms on the left side


{{{ 1 < 4x + 12 }}} <----- add x to both sides


{{{ -11 < 4x }}} <----- subtract 12 from both sides


{{{ -11/4 < x }}} <----- divide both sides by 4.


{{{ x > -11/4 }}} <---- We just rewrote it so that the variable ends up on the left side. Notice that we flipped the inequality. You only do this if you want to switch the sides of an inequality. This way, your "pac-man" has its mouth open on the same quantity regardless of positioning.