Question

9|9-8x| = 2x +3

Answer 1

solve two equations
9(9-8x)=2x+3 and 9(9-8x)=-2x-3

Answer 2

|9-8x| can be both (9-8x) and -(9-8x)
*note: -(9-8x) = (8x - 9)

so you have to solve:

9(9-8x) = 2x + 3 and 9(8x-9) = 2x + 3

Answer 3

9(9 -8x) = 2x + 3 distribute
81 - 72x = 2x + 3 then move all the x to one side and all the numbers to another

Answer 4

81 - 72x = 2x + 3 -3 both sides
78 - 72x = 2x + 72x both sides
78 = 74x

Answer 5

do similiarly for the other one 9(8x-9) = 2x + 3

Answer 6

9(8x-9) = 2x + 3
72x - 81 = 2x + 3
70x = 84
x = 84/70 = 6/5

9 (9-8x) = 2x + 3
81 - 72x = 2x + 3
78 - 72x = 2x
78 = 74x
x = 78/74 = 39/37
so your 2 solutions are 6/5 and 39/37