What is the value of $x$ in the equation $(x-2)/3 + 1/6 = 5/6$ ?

Question

15713 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T19:54:06

$x=4$

Let's multiply the first term by $2/2$ to achieve a common denominator. Now, we have

$(2(x-2))/6+1/6=5/6$

We can multiply every term by $6$ to get

$2(x-2)+1=5$

Suddenly this equation becomes much more easier to solve. We can distribute the $2$ to both terms in parenthesis to get

$2x-4+1=5$

Which simplifies to

$2x-3=5$

Adding $3$ to both sides, we get

$2x=8$

Lastly, we can divide both sides by $2$ to get

$x=4$

Hope this helps!

What is the value of xx in the equation (x-2)/3 + 1/6 = 5/6(x-2)/3 + 1/6 = 5/6?