Question

8(x - 1) < 2x + x - 3


answers to choose from

x < 5
x < -5
x < -1
x < 0
x < 1

Answer 1

$$
8(x - 1) < 2x + x - 3\\
8x-8<2x + x - 3\\
8x-8<3x-3\\
8x-3x<-3+8\\
5x<5\\
x<5
$$

Make sense?

Answer 2

Thank you, I get the first step. Although I'm lost after you did <3x−3
8x−3x<−3+8 . Math isn't one of my strongest subjects.

Answer 3

After < 3x - 3, this is what I did:
$$
x−8<3x−3\\
\text{Bring all "x" terms to one side and all constants to the other:}\\
8x−3x<−3+8\\
\text{Simplify each side:}\\
5x<5\\
\text{Divide both sides by 5 to eliminate the constant in front of the x, so isolate the x:}\\
\cfrac{5x}{5}<\cfrac{5}{5}=1\\
\cfrac{\cancel{5}x}{\cancel{5}}<\cfrac{5}{5}=1\\
x < 1
$$

Make more sense?

Answer 4

*Please note the correction I made at the end
x<1 NOT x<5