# How do you solve -7/8x-5/6=11/24x-5/16?

Apr 25, 2017

By arranging your equation, $x = - \frac{25}{64}$

#### Explanation:

Expand the first term by 6, the second term by 6 (on left hand side), the first term by 2 and the second term by 3 (on the right hand side of the given).

Now:

$\left(- \frac{7 \cdot 6 x}{48}\right) - \left(5 \cdot \frac{8}{48}\right) = \left(\frac{11 \cdot 2 x}{48}\right) - \left(\frac{5 \cdot 3}{48}\right)$

Arrange the above equation:

$- 42 x - 40 = 22 x - 15$

Now you have
$- 42 x - 22 x = 40 - 15$

or
$- 64 x = 25$

or
$x = - \frac{25}{64}$

This is your answer $x = - \frac{25}{64}$