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

May 17, 2018

$x = 4$

#### Explanation:

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

$\frac{2 \left(x - 2\right)}{6} + \frac{1}{6} = \frac{5}{6}$

We can multiply every term by $6$ to get

$2 \left(x - 2\right) + 1 = 5$

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

$2 x - 4 + 1 = 5$

Which simplifies to

$2 x - 3 = 5$

Adding $3$ to both sides, we get

$2 x = 8$

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

$x = 4$

Hope this helps!