Geometry/Algebra question help...?

Question

I was wondering when you have a problem for solving x and it looks something like this:: 2x+5 over 3 = x-4 over 2

how do you go about solving this?

Answer 1

i failed geometry...

Answer 2

The most common method is to cross-multiply.  Take the top left times the bottom right and set it equal to the top right times the bottom left.

(2x+5)*2=(x-4)*3

4x+10=3x-12

x+10=-12

x=-2

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