What is the answer to (3x+2)/(x-1)-6/5 =0 ?

The answer to (3x+2)/(x-1)-6/5 =0 is x=-16/9

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(3x+2)/(x-1)-6/5 =0

\frac{3 x + 2}{x - 1} - \frac{6}{5} = 0

x = - \frac{16}{9}

Decimal Notation

x = - 1.77777 \dots

Solution steps

\frac{3 x + 2}{x - 1} - \frac{6}{5} = 0

Multiply by LCM

9 x + 16 = 0

Move

16

to the right side

9 x = - 16

Divide both sides by

9

x = - \frac{16}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{16}{9}

\frac{( 4 x + 1 )}{( 2 x + 2 )} = 128

\frac{1}{6 x} = \frac{4}{15}

\frac{A X + B}{X} = \frac{CX}{D}

\frac{750}{x - 750} = 2.083

(x) = \frac{1}{( x - 3 )}

What is the answer to (3x+2)/(x-1)-6/5 =0 ?
The answer to (3x+2)/(x-1)-6/5 =0 is x=-16/9
Solve for x: (3x+2)/(x-1)-6/5 =0
The solution is x=-16/9