What is the answer to (3x-2)/(5x+4)= 6/7 ?

The answer to (3x-2)/(5x+4)= 6/7 is x=-38/9

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(3x-2)/(5x+4)= 6/7

\frac{3 x - 2}{5 x + 4} = \frac{6}{7}

x = - \frac{38}{9}

Decimal Notation

x = - 4.22222 \dots

Solution steps

\frac{3 x - 2}{5 x + 4} = \frac{6}{7}

Cross multiply

21 x - 14 = 30 x + 24

Move

14

to the right side

21 x = 30 x + 38

Move

30 x

to the left side

- 9 x = 38

Divide both sides by

- 9

x = - \frac{38}{9}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{5}

Combine undefined points with solutions:

x = - \frac{38}{9}

\frac{1}{y} + \frac{5}{y} = 0

\frac{6}{14} = \frac{5}{n}

\frac{5}{y} + 3 = 4

\frac{6}{14} = \frac{5}{x}

m = \frac{n}{n + 2}, n

What is the answer to (3x-2)/(5x+4)= 6/7 ?
The answer to (3x-2)/(5x+4)= 6/7 is x=-38/9
Solve for x: (3x-2)/(5x+4)= 6/7
The solution is x=-38/9