Question 343956
-3x + 14 - x < 56 + 3x
SIMPLIFY:
{{{-4x+14<56+3x}}}
SUBTRACT 3X FROM BOTH SIDES OF THE EQUATION
{{{-7x+14<56}}}
SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION
{{{-7x<42}}}
DIVIDE BOTH SIDES OF THE EQUATION BY 7
{{{-X<6}}}
SIMPLIFY:  NEED TO KNOW

Multiplying/dividing by the same NEGATIVE number on both sides REQUIRES changing the orientation of the inequality sign.
MULTIPLY BOTH SIDES OF THE EQUATION BY -1
{{{X>highlight(-6)}}}