SOLUTION: I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations.. ((5x + 6)/ (2)) = ((9x - 3)/ (3)) What i've tried

Algebra ->  Linear-equations -> SOLUTION: I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations.. ((5x + 6)/ (2)) = ((9x - 3)/ (3)) What i've tried      Log On


   

Question 123582: I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations..
((5x + 6)/ (2)) = ((9x - 3)/ (3))


What i've tried so far is: X the / so that the next line is simply ... 2(5x + 6) = 3(9x - 3)... but it doesnt seem to really look right when i solve it.. i'm not sure.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations..
%28%285x+%2B+6%29%29%2F2 = %28%289x+-+3%29%29%2F3
:
It looks like you wanted to cross multiply, however, that would be:
2(9x -3) = 3(5x + 6)
;
Multiply what is inside the brackets:
18x - 6 = 15x + 18
:
Add 6 to both sides:
18x = 15x + 18 + 6
18x = 15x + 24
:
Subtract 15x from both sides
18x - 15x = 24
3x = 24
x = 24%2F3; divided both sides by 3
x = 8
:
:
Check solution in original equation, substitute 8 for x:
%28%285%288%29+%2B+6%29%29%2F2 = %28%289%288%29+-+3%29%29%2F3
%28%2840+%2B+6%29%29%2F2 = %28%2872+-+3%29%29%2F3
46%2F2 = 69%2F3
23 = 23 proved our solution of x = 8
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