Answer:
x = 2
Step-by-step explanation:
[tex]\frac{3x-5}{6} = \frac{1}{6} \\[/tex]
In order to solve this, you must get the denominator off of the left-hand side of the equation, by multiplying 6 on each side, in order to get the denominators to cancel. This leaves you with:
[tex]3x-5 = 6/6\\3x-5 = 1[/tex]
Then, you add 5 to each side.
[tex]3x = 6[/tex]
Divide by 3, to get x by itself.
[tex]x = 2[/tex]
Which gets us to our final answer of x = 2.
Then, you can plug x back into the equation just to double-check yourself:
[tex]\frac{3(2)-5}{6} = \frac{1}{6} \\\\\frac{6-5}{6} = \frac{1}{6}\\\\\frac{1}{6} = \frac{1}{6}[/tex]
I hope that this helped you understand to concept a little better. Good luck.
