What is the answer to 3/x+2/(x-1)=6 ?

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

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3/x+2/(x-1)=6

\frac{3}{x} + \frac{2}{x - 1} = 6

x = \frac{3}{2}, x = \frac{1}{3}

Decimal Notation

x = 1.5, x = 0.33333 \dots

Solution steps

\frac{3}{x} + \frac{2}{x - 1} = 6

Multiply by LCM

3 (x - 1) + 2 x = 6 x (x - 1)

Solve

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

x = \frac{3}{2}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{3}{2}, x = \frac{1}{3}

\frac{32 x}{( 25 - x ^{2} ) ^{2}} = 0

\frac{x ^{2}}{x - 3} = \frac{x + 2}{2 x - 5}

\frac{1}{x} + \frac{1}{x + 1} = \frac{7}{12}

\frac{2}{x - 5} = \frac{2 x}{3}

- 9 + \frac{1}{x + 9} = - \frac{x}{x + 9}

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