`4/(2x)=5/(x+6)` Solve the equation by cross multiplying. Check for extraneous solutions.

Expert Answers

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`4/(2x)=5/(x+6)`

Cross multiply,

`4(x+6)=5(2x)`

`4x+4*6=10x`

`4x+24=10x`

`4x-10x=-24`

`-6x=-24`

`x=(-24)/(-6)`

`x=4`

Check the solution:

`4/(2*4)=5/(4+6)`

`1/2=5/10`

`1/2=1/2`

It's true.

So, the solution is x=4

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