What is the answer to (x-5)/(x+8)= 3/8 ?

The answer to (x-5)/(x+8)= 3/8 is x= 64/5

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(x-5)/(x+8)= 3/8

\frac{x - 5}{x + 8} = \frac{3}{8}

x = \frac{64}{5}

Decimal Notation

x = 12.8

Solution steps

\frac{x - 5}{x + 8} = \frac{3}{8}

Cross multiply

8 x - 40 = 3 x + 24

Move

40

to the right side

8 x = 3 x + 64

Move

3 x

to the left side

5 x = 64

Divide both sides by

5

x = \frac{64}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = \frac{64}{5}

0.2 = \frac{x ^{2}}{25 - x}

L, A = \frac{r}{2 L}

\frac{8}{x} = \frac{5}{9}

x, \frac{4}{x} - y = - 1

\frac{2}{x} = \frac{1}{8 x} + 3

What is the answer to (x-5)/(x+8)= 3/8 ?
The answer to (x-5)/(x+8)= 3/8 is x= 64/5
Solve for x: (x-5)/(x+8)= 3/8
The solution is x= 64/5