What is the answer to -5/(3x-7)= 3/(3x+1) ?

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

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-5/(3x-7)= 3/(3x+1)

- \frac{5}{3 x - 7} = \frac{3}{3 x + 1}

x = \frac{2}{3}

Solution steps

- \frac{5}{3 x - 7} = \frac{3}{3 x + 1}

Cross multiply

- 15 x - 5 = 9 x - 21

Move

5

to the right side

- 15 x = 9 x - 16

Move

9 x

to the left side

- 24 x = - 16

Divide both sides by

- 24

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{3}, x = - \frac{1}{3}

Combine undefined points with solutions:

x = \frac{2}{3}

t, P = \frac{100 a}{t}

\frac{2}{9} = \frac{8}{x}

\frac{4}{5} = \frac{2 x - 10}{x - 2}

- \frac{10}{n - 10} = \frac{5}{8}

\frac{x}{x + 5} = \frac{x - 4}{x}

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