Question

|-7-9x|=2 solve the equation

Answer 1

Below in bold.

Explanation:

|-7-9x|=2

The left side is the absolute value of -7 - 9x, therefore

-7 - 9x = 2 or -7-9x = -2

-9x = 2 + 7

-9x = 9

x = -1

OR

-9x = -2 + 7

-9x = 5

x = -5/9.

Answer 2

`{ \tt{ - 7 - 9x = \pm2}} \\ { \tt{ - 9x = \pm2 + 7}} \\ { \tt{ - 9x = 9 \: \: or \: \: 5}} \\ { \tt{x = - 1 \: \: or \: \: - (5)/(9) }}`