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

The answer to 3/(x-5)= 2/(2-x) is x= 16/5

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

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

x = \frac{16}{5}

Decimal Notation

x = 3.2

Solution steps

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

Cross multiply

6 - 3 x = 2 x - 10

Move

6

to the right side

- 3 x = 2 x - 16

Move

2 x

to the left side

- 5 x = - 16

Divide both sides by

- 5

x = \frac{16}{5}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 2

Combine undefined points with solutions:

x = \frac{16}{5}

\frac{x}{x + 10} = \frac{1}{5}

\frac{12}{y} + y = 6

\frac{1}{x + 2} - 1 = \frac{4}{x + 2}

2 π f = \frac{1}{2 π f}

\frac{49}{y} = \frac{y}{64}

What is the answer to 3/(x-5)= 2/(2-x) ?
The answer to 3/(x-5)= 2/(2-x) is x= 16/5
Solve for x: 3/(x-5)= 2/(2-x)
The solution is x= 16/5