SOLUTION: Please help solve {{{ (2x+9)/(4x-15)=5/7 }}}....I know that x=23 but can't figure out how to show it.

Algebra ->  Equations -> SOLUTION: Please help solve {{{ (2x+9)/(4x-15)=5/7 }}}....I know that x=23 but can't figure out how to show it.      Log On


   

Question 335896: Please help solve +%282x%2B9%29%2F%284x-15%29=5%2F7+....I know that x=23 but can't figure out how to show it.
Found 2 solutions by jim_thompson5910, ankor@dixie-net.com:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+%282x%2B9%29%2F%284x-15%29=5%2F7+ Start with the given equation.


+7%282x%2B9%29=5%284x-15%29+ Cross multiply.


14x%2B63=20x-75 Distribute.


14x=20x-75-63 Subtract 63 from both sides.


14x-20x=-75-63 Subtract 20x from both sides.


-6x=-75-63 Combine like terms on the left side.


-6x=-138 Combine like terms on the right side.


x=%28-138%29%2F%28-6%29 Divide both sides by -6 to isolate x.


x=23 Reduce.


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Answer:

So the solution is x=23

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve +%282x%2B9%29%2F%284x-15%29=5%2F7+
The easiest way is cross multiply this guy
7(2x + 9) = 5(4x - 15)
:
14x + 63 = 20x - 75
:
63 + 75 = 20x - 14x
:
138 = 6x
x = 138%2F6
x = 23
:
:
Check it in the original problem x=23