<PRE><B>Question 335896</B>
{{{ (2x+9)/(4x-15)=5/7 }}} Start with the given equation.



{{{ 7(2x+9)=5(4x-15) }}} Cross multiply.



{{{14x+63=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=(-138)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{x}}}.



{{{x=23}}} Reduce.



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Answer:


So the solution is {{{x=23}}} 
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