What is the answer to (10)/(x-2)-3/x =2 ?

The answer to (10)/(x-2)-3/x =2 is x=6,x=-1/2

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(10)/(x-2)-3/x =2

\frac{10}{x - 2} - \frac{3}{x} = 2

x = 6, x = - \frac{1}{2}

Decimal Notation

x = 6, x = - 0.5

Solution steps

\frac{10}{x - 2} - \frac{3}{x} = 2

Multiply by LCM

10 x - 3 (x - 2) = 2 x (x - 2)

Solve

10 x - 3 (x - 2) = 2 x (x - 2) : x = 6, x = - \frac{1}{2}

x = 6, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 6, x = - \frac{1}{2}

\frac{3}{x - 2} - \frac{2}{x + 3} = 1

\frac{- 2 - \frac{8}{13}}{x + 2} = 1

x, g = y + \frac{c}{x}

\frac{1}{2 + x} = \frac{21}{2}

(x + 2) \frac{1}{x + 2} = 1

What is the answer to (10)/(x-2)-3/x =2 ?
The answer to (10)/(x-2)-3/x =2 is x=6,x=-1/2
Solve for x: (10)/(x-2)-3/x =2
The solution is x=6,x=-1/2