What is the answer to 6/(3x-1)=(2x-7)/7 ?

The answer to 6/(3x-1)=(2x-7)/7 is x=5,x=-7/6

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6/(3x-1)=(2x-7)/7

\frac{6}{3 x - 1} = \frac{2 x - 7}{7}

x = 5, x = - \frac{7}{6}

Decimal Notation

x = 5, x = - 1.16666 \dots

Solution steps

\frac{6}{3 x - 1} = \frac{2 x - 7}{7}

Cross multiply

42 = (3 x - 1) (2 x - 7)

Solve

42 = (3 x - 1) (2 x - 7) : x = 5, x = - \frac{7}{6}

x = 5, x = - \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = 5, x = - \frac{7}{6}

\frac{x - 1}{x + 1} = \frac{5}{3}

\frac{5}{3} = \frac{40}{x}

\frac{x ^{2} + x - 12}{x - 3} = x + 4

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

103 = \frac{( 2 x - 3 )}{10 - 6 x}

What is the answer to 6/(3x-1)=(2x-7)/7 ?
The answer to 6/(3x-1)=(2x-7)/7 is x=5,x=-7/6
Solve for x: 6/(3x-1)=(2x-7)/7
The solution is x=5,x=-7/6