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3x-5/6=1/6 what does x=?

Sagot :

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.