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

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

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

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

x = 2

Solution steps

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

Cross multiply

12 x - 14 = 15 x - 20

Move

14

to the right side

12 x = 15 x - 6

Move

15 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}, x = \frac{7}{6}

Combine undefined points with solutions:

x = 2

2 \cdot \frac{3}{X - 4} = 6

0 = \frac{6}{x}

\frac{k + 5}{3 k} = 2

(x - 3) (\frac{550}{x} + 3) = 550

- \frac{10240}{x ^{2}} + 0.001 = 0

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