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

The answer to 2/(x-6)= 3/(5-x) is x= 28/5

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

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

x = \frac{28}{5}

Decimal Notation

x = 5.6

Solution steps

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

Cross multiply

10 - 2 x = 3 x - 18

Move

10

to the right side

- 2 x = 3 x - 28

Move

3 x

to the left side

- 5 x = - 28

Divide both sides by

- 5

x = \frac{28}{5}

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 5

Combine undefined points with solutions:

x = \frac{28}{5}

\frac{x + 6}{x + 2} = 4

a, u = \frac{k}{ab}

y, \frac{y - 1}{y} = x

4.644 = \frac{4 π ^{2}}{g}

\frac{3}{900} = \frac{4}{x}

What is the answer to 2/(x-6)= 3/(5-x) ?
The answer to 2/(x-6)= 3/(5-x) is x= 28/5
Solve for x: 2/(x-6)= 3/(5-x)
The solution is x= 28/5