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 so fa

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 so fa      Log On


   

Question 123587: 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.
Found 2 solutions by chitra, johnnico6426:
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

%285x+%2B+6%29%2F%282%29 = %289x+-+3%29%2F%283%29

We shall first cross multiply the numbers in the denominator of both the sides.

We get:

(5x + 6) * (3) = (9x - 3) * 2

15x + 18 = 18x - 6

18 + 6 = 18x - 15x [add 6 - 15x on both sides]

24 = 3x

==> divide both sides by 3

%2824%2F3%29+=+x+

==> x = 6

Thus the solution.


Answer by johnnico6426(16) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, what you did by eliminating the division in the equation is bad. This is because by doing that, you just hcanged the value of x that makes the equation true.
Equation:
%285x+%2B+6%29%2F%282%29+=+%289x+-+3%29%2F%283%29
The first step is to multiply both side with 6, so that we can eliminate the fraction.
6%28%285x+%2B+6%29%2F%282%29%29+=+%28%289x+-+3%29%2F%283%29%296
Simplify.
3%285x%2B6%29=2%289x-3%29
Distribute.
15x%2B18=18x-6
Solve for x.
x=8