# How do you solve \frac { 3x } { 6} - \frac { 4x + 6} { 5} = 5?

Oct 16, 2017

$x = - \frac{62}{3}$

#### Explanation:

Make the denominators the same by multiplying them with each other.

$\frac{3 x \left(5\right)}{6 \times 5} - \frac{6 \left(4 x + 6\right)}{6 \times 5} = 5$

$\frac{15 x - 24 x - 36}{30} = 5$

Multiply both equations by $30$ to remove it.

$15 x - 24 x - 36 = 150$

$- 9 x = 186$

$\therefore x = - \frac{62}{3}$

Oct 16, 2017

x = -20(2/3)

#### Explanation:

Taking L CM for 5, 6 as 30,
$\frac{\left(5 \cdot 3 x\right) - \left(6 \cdot \left(4 x + 6\right)\right)}{30} = 5$

$15 x - 24 x - 36 = 150$
$- 9 x = 150 + 36 = 186$
$x = - 20 \left(\frac{2}{3}\right)$