how do you solve a problem like...
solve with add and multiply 5+6x<53

Add -5 to both sides





Now multiply by 1/6





If ever you multiply or divide by -1, you need to change the "sense" of the inequality ("<" changes to ">" or ">" to "<", for example). If you ever have to divide or multiply by "x", you need to make sure (at the end) that "x" is positive. Otherwise, the sign changes.