Iam going to rip my hair out. can somebody do a word for word step by step explanation for my problem? i will give 98 points i'm desperate.

solve the equation. check for extraneous solutions.

9∣9-8x∣ = 2x+3

9|9-8x|=2x+3    divide both sides by 9

l 9 - 8x l  =  [2x + 3] / 9        we have two equations

9 - 8x  = [2x + 3] / 9          and      9 - 8x =  - [2x + 3] / 9

multiply both sides by 9

81 - 72x  = 2x + 3                         81 - 72x  = -2x - 3

get the x's on one side and constants on the other

78  = 74x                                    84  = 70x

divide by 74                            divide by 70

78/74 = x =  39/37                      84/70  = x = 6/5

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4