What value of x is in the solution set of 8x - 6 > 12 + 2x?
A)-1
B)0
C)3
D)5

Answer:
The correct option is C. 3
Therefore the value of x in the solution set of
[tex]8x-6 > 12+2x[/tex]
is
[tex]x>3[/tex]
Step-by-step explanation:
Given:
[tex]8x-6 > 12+2x[/tex]
To Find:
x = ?
Solution:
[tex]8x-6 > 12+2x[/tex] .......Given:
Step 1 : Add '6' on Both the side we get
[tex]8x-6+6 > 12+2x+6\\8x > 18+2x[/tex]
Step 2 : Subtract '2x' from Both the side we get
[tex]8x-2x > 18+2x-2x\\6x > 18[/tex]
Step 3 : Dividing by '6 on Both the side we get
[tex]\dfrac{6x}{6} >\dfrac{18}{6}\\\\x > 3[/tex]
Therefore the value of x in the solution set of
[tex]8x-6 > 12+2x[/tex]
is
[tex]x>3[/tex]