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

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

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3/(x+5)= 2/(4-x)

\frac{3}{x + 5} = \frac{2}{4 - x}

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

\frac{3}{x + 5} = \frac{2}{4 - x}

Cross multiply

12 - 3 x = 2 x + 10

Move

12

to the right side

- 3 x = 2 x - 2

Move

2 x

to the left side

- 5 x = - 2

Divide both sides by

- 5

x = \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 4

Combine undefined points with solutions:

x = \frac{2}{5}

\frac{5 x}{2 x - 1} + \frac{2 x}{3 x + 2} = 3

\frac{1}{x} + \frac{1}{x - 3} = \frac{2}{x - 4}

\frac{x - 14}{x - 15} = \frac{14}{13}

\frac{2369}{( x + 76 )} = 23

f, f (x - 3) = \frac{3}{x - 3}

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