# How do you solve (3x-11)/36=-5/18?

Jan 18, 2016

$x = \frac{1}{3}$

#### Explanation:

$\frac{3 x - 11}{36} = - \frac{5}{18}$

( cross-multiply )

$18 \left(3 x - 11\right) = \left(- 5\right) \times 36$

$\Rightarrow 54 x - 198 = - 180$

(Note: the negative (-) on the right hand side of the equation must be attached to one or other of 5 or 18 but not both.)

now 54x = -180 + 198 = 18

$\Rightarrow x = \frac{18}{54} = \frac{1}{3}$