What is the answer to 4/(5x+7)= 5/(x-1) ?

The answer to 4/(5x+7)= 5/(x-1) is x=-13/7

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4/(5x+7)= 5/(x-1)

\frac{4}{5 x + 7} = \frac{5}{x - 1}

x = - \frac{13}{7}

Decimal Notation

x = - 1.85714 \dots

Solution steps

\frac{4}{5 x + 7} = \frac{5}{x - 1}

Cross multiply

4 x - 4 = 25 x + 35

Move

4

to the right side

4 x = 25 x + 39

Move

25 x

to the left side

- 21 x = 39

Divide both sides by

- 21

x = - \frac{13}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{5}, x = 1

Combine undefined points with solutions:

x = - \frac{13}{7}

\frac{96}{x} = 48

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

\frac{4}{6 x} = \frac{7}{8}

\frac{10}{15} = \frac{4}{x - 5}

\frac{8}{7} = \frac{12}{k}

What is the answer to 4/(5x+7)= 5/(x-1) ?
The answer to 4/(5x+7)= 5/(x-1) is x=-13/7
Solve for x: 4/(5x+7)= 5/(x-1)
The solution is x=-13/7