# How do you solve \frac { 4w } { w + 8} + 6= \frac { 3} { w + 8}?

Jul 8, 2018

$x = - \frac{9}{2}$

#### Explanation:

Multiplying by $w + 8 \ne 0$

$4 w + 6 \left(w + 8\right) = 3$
expanding

$4 w + 6 w + 48 = 3$
collecting like Terms

$10 w + 48 = 3$
subtracing $48$ on both sides

$10 w = - 45$
so $w = - \frac{9}{2}$

Jul 8, 2018

$w = - \frac{9}{2}$

#### Explanation:

To get rid of the $w + 8$ in the denominator, we can multiply both sides by it. We now have the following equation:

$4 w + 6 \left(w + 8\right) = 3$

We can distribute the $6$ to the terms in the parenthesis to get

$4 w + 6 w + 48 = 3$

Combining our $w$ terms on the left, we now have

$10 w + 48 = 3$

Subtract $48$ from both sides to get

$10 w = - 45$

Dividing both sides by $10$, we get

$w = - \frac{45}{10}$ or, in simplest form,

$w = - \frac{9}{2}$

Hope this helps!