What is the answer to x/3+(x-1)/x = 7/6 ?

The answer to x/3+(x-1)/x = 7/6 is x=2,x=-3/2

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x/3+(x-1)/x = 7/6

\frac{x}{3} + \frac{x - 1}{x} = \frac{7}{6}

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

Decimal Notation

x = 2, x = - 1.5

Solution steps

\frac{x}{3} + \frac{x - 1}{x} = \frac{7}{6}

Multiply by LCM

2 x^{2} + 6 (x - 1) = 7 x

Solve

2 x^{2} + 6 (x - 1) = 7 x : x = 2, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{4}{x} + \frac{2 ( x + 1 )}{3 ( x - 2 )} = 4

2 - \frac{3 x - 2}{x + 1} = \frac{x - 4}{2 x - 3}

\frac{2}{x - 2} = \frac{x}{x - 2} - 4

6 = \frac{78}{w}

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

What is the answer to x/3+(x-1)/x = 7/6 ?
The answer to x/3+(x-1)/x = 7/6 is x=2,x=-3/2
Solve for x: x/3+(x-1)/x = 7/6
The solution is x=2,x=-3/2