Question

2/3 (9+x)=-5 (4-x) what is the answer

Answer 1

`(2)/(3) (9 + x) = -5 (4 - x) \\ \\ (2(9 + x))/(3) = -5(4 - x) \ / \ simplify \\ \\ 2(9 + x) = -15(4 - x) \ / \ multiply \ each \ sides \ by \ 3 \\ \\ 18+ 2x = -60 + 15x \ / \ expand \\ \\ 18 + 2x = 15x - 60 \ / \ regroup \ the \ terms \\ \\ 18 = 15x - 60 - 2x \ / \ subtract\ 2x \ from \ each \ side \\ \\ 18 = 13x - 60 \ / \ simplify \\ \\ 18 + 60 = 13x \ / \ add \ 60 \ to \ each \ side \\ \\ 78 = 13x \ / \ simplify \\ \\ (78)/(13) = x \ / \ divide \ each \ side \ by \ 13 \\ \\`

`6 = x \ / \ simplify \\ \\ x = 6 \ / \ switch \ the \ sides \\ \\`

So, your answer to this problem is x = 6.