Solve and explain x-28<20-2x

solve and explain im really confused

Just treat the < as you would for an equal sign and rearrange terms to solve the equation.

Start with:
X- 28 < 20 - 2X

Move all constants to one side by adding 28 to both sides you get:
X < 48 -2X

Then move all the X to one side by adding 2X to both sides you get:
3X < 48

Divide both side by 3 to solve for X:
X < 16

So answer is X is less than 16.
Which means given the original equation, as long as X is less than 16, the equation will be valid.

x-28<20-2x

add 2x to both sides
[keeps the variable positive

3x-28<20

add 28 to both sides
3x<48

divide through by 3
x<16

open circle at 16
line with an arrow to the left

Just treat the inequality sign ( '<' ) the same as you would normally treat an = sign :

x-28 < 20-2x
x + 2x < 20 + 28
3x < 48
x < 16

x+2x<20+28 ( once u bring over a value to the other side of equation, it becomes the opposite polarity -28 becomes 28, and -2x becomes +2x)

Ok the rest u solve

x-28<20-2x
-x<48
x<-48