Question

How do I solve this for x?

Answer 1

\[1/x = 3/(x+2) - 2/(x - 3)\]

Answer 2

Start with getting the same nr under the lines..

Answer 3

so you can add them with each other..

Answer 4

\[1/x=3/(x+2)−2/(x−3)\]
\[1(x-2)(x-3)/x(x-3)(x-2)=3x(x-3)/(x+2)(x-3)x−2x(x-2)/(x−3)(x-2)x\]

Answer 5

start by multiplying by the least common denominator x(x+2)(x-3), you will get:
\[(x+2)(x-3)=3x(x-3)-2x(x+2)\]
which is a quadratic equation that can be easily solved

Answer 6

ouch, that hurts the synapses in me brain.... pencil and paper...much nicer...

Answer 7

oh, it should be (x+2)

Answer 8

\[x^2-x-6=3x^2-9x-2x^2-4x \implies 12x=6 \implies x+1/2\]

Answer 9

x=1/2**

Answer 10

yepp,