Distribute the -2 to the (x+3) because of distributive property -2x-6-4>4x+30 add like terms because you aren't changing anything -2x-10>4x+30 add 2x to both sides (addition property of equality, when b=b and a=a, a+b=a+b) also addative inverse, a+(-a)=0, the 2x canceld the -2x -10>6x+30 minus 30 from both sides (subtraction property of equality again) and addative inverse, the -30 cancleled the 30 -40>6x divide both sides by 6 (division property of equality) -20/3>x property of 1 division (if a=a then a/a=1 x<-20/3
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
