Answer:
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
