# How do you solve for x: (x-3) /4 + x/2 =3?

Aug 18, 2016

$x = 5$

#### Explanation:

In an equation with fractions, we can get rid of the denominators by multiplying each term by the LCD (LCM of denominators).
IN this case the LCM is $\textcolor{red}{4}$

$\textcolor{red}{\cancel{4}} \times \frac{\left(x - 3\right)}{\cancel{4}} + {\textcolor{red}{\cancel{4}}}^{2} \times \frac{x}{\cancel{2}} = \textcolor{red}{4} \times 3$

$x - 3 + 2 x = 12$

$3 x = 15$

$x = 5$