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

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

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

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

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

Decimal Notation

x = 1.5, x = - 1

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

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

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

y + \frac{1}{y} - 22 = 0

\frac{3}{9} = \frac{3}{x + 2}

(- \frac{1}{2 x})^{2} = 16

x, z = \frac{m}{x y}

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