# How do you solve 9- 2x = 6x - 23?

May 14, 2017

color(brown)(x=4

#### Explanation:

$9 - 2 x = 6 x - 23$

$\therefore - 2 x - 6 x = - 23 - 9$

$- 8 x = - 32$

multiply L.H.S and R.H.S. by color(brown)(-1

$\therefore 8 x = 32$

$\therefore x = \frac{32}{8}$

:.color(brown)(x=4

substitute color(brown)(x=4

$\therefore 9 - 2 \left(\textcolor{b r o w n}{4}\right) = 6 \left(\textcolor{b r o w n}{4}\right) - 23$

$\therefore 9 - 8 = 24 - 23$

$\therefore 1 = 1$

May 14, 2017

$x = 4$

#### Explanation:

Given -

$9 - 2 x = 6 x - 23$

Take all the constant terms to right hand side and unknowns to the left hand side.

$- 2 x - 6 x = - 23 - 9$
$- 8 x = - 32$
$x = \frac{- 32}{- 8} = 4$
$x = 4$