# How do you solve 1/3+x=5/6?

Mar 23, 2016

I found $x = \frac{1}{2}$

#### Explanation:

You need to find the value of $x$ that makes the left side equal to the right one.
We try solating $x$ on one side (left, for example) transferring all the numbers to the right:
$x = \frac{5}{6} \textcolor{red}{- \frac{1}{3}}$
notice the change of sign of $\frac{1}{3}$ in passing to the right!
We rearrange the right side:
$x = \frac{5 - 2}{6}$
we fnd a common denominator ($6$) and rearrange the numerators to allow the subtraction:
Finally:
$x = \frac{3}{6} = \frac{1}{2}$

You can now test this value putting it into the original equation to see if the left is equal to the right side!