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

The answer to (3x+5)/(x+8)= 8/5 is x= 39/7

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

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

x = \frac{39}{7}

Decimal Notation

x = 5.57142 \dots

Solution steps

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

Cross multiply

15 x + 25 = 8 x + 64

Move

25

to the right side

15 x = 8 x + 39

Move

8 x

to the left side

7 x = 39

Divide both sides by

7

x = \frac{39}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = \frac{39}{7}

\frac{5}{10} = \frac{8}{8 x}

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

34.71 x = (1 + x)^{- 12}

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

1.5 = 9 (\frac{x}{50 + x})

What is the answer to (3x+5)/(x+8)= 8/5 ?
The answer to (3x+5)/(x+8)= 8/5 is x= 39/7
Solve for x: (3x+5)/(x+8)= 8/5
The solution is x= 39/7