# How do you solve 1/6x + 2/3x = 1?

May 1, 2018

Combine both x values and then divide by 1 to isolate x

#### Explanation:

$\frac{1}{6} x + \frac{2}{3} x = 1$
Change $\frac{2}{3}$ so you can add it to $\frac{1}{6}$ by multiplying the numerator and denominator by 2 so you'll get
$\frac{1}{6} x + \frac{4}{6} x = 1$
you'll get $\frac{5}{6} x = 1$
now you need to divide both sides by $\frac{5}{6}$ to isolate x
So $\frac{1}{\frac{5}{6}} = x$
which becomes $\frac{6}{5} = x$