What is 5/6x+2/3=-9?

x = - 58/5 or - 11 3/5

Step-by-step explanation:

5/6x + 2/3 = - 9

Subtract 2/3 from each side

5/6x + 2/3 - 2/3 = - 9 - 2/3

5/6x = 9-2/3

Get a common denominator of 3

5/6x = - 27/3 - 2/3

5/6x = - 29/3

Multiply each side by 6/5 to isolate x

5/6x * 6/5 = - 29/3 * 6/5

x = - 29/5 * 6/3

=-29/5 * 2

= - 58/5

Changing to a mixed number

5 goes into 58 11 time with 3 left over

x = - 11 3/5