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

The answer to 2/(x+3)= 3/(5-x) is x= 1/5

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

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

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

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

Cross multiply

10 - 2 x = 3 x + 9

Move

10

to the right side

- 2 x = 3 x - 1

Move

3 x

to the left side

- 5 x = - 1

Divide both sides by

- 5

x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 5

Combine undefined points with solutions:

x = \frac{1}{5}

\frac{7}{2 x ^{2}} + 5 x = - 51

\frac{5 A - 3}{2 A + 1} = \frac{2}{7}

\frac{( 3 )}{( x )} = 6

(\frac{28}{y})^{2} + y^{2} = 65

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

What is the answer to 2/(x+3)= 3/(5-x) ?
The answer to 2/(x+3)= 3/(5-x) is x= 1/5
Solve for x: 2/(x+3)= 3/(5-x)
The solution is x= 1/5