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

The answer to 7/(5x-6)= 2/(2x-5) is x= 23/4

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

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

x = \frac{23}{4}

Decimal Notation

x = 5.75

Solution steps

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

Cross multiply

14 x - 35 = 10 x - 12

Move

35

to the right side

14 x = 10 x + 23

Move

10 x

to the left side

4 x = 23

Divide both sides by

4

x = \frac{23}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{6}{5}, x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{23}{4}

t, s = \frac{d}{t}

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

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

y, s (y) = \frac{7 y}{y + 9}

\frac{x}{2 a} = \frac{3 a}{6 x - 5 a}

What is the answer to 7/(5x-6)= 2/(2x-5) ?
The answer to 7/(5x-6)= 2/(2x-5) is x= 23/4
Solve for x: 7/(5x-6)= 2/(2x-5)
The solution is x= 23/4