What is the answer to 8/(3x-2)= 3/(x+3) ?

The answer to 8/(3x-2)= 3/(x+3) is x=30

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8/(3x-2)= 3/(x+3)

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

x = 30

Solution steps

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

Cross multiply

8 x + 24 = 9 x - 6

Move

24

to the right side

8 x = 9 x - 30

Move

9 x

to the left side

- x = - 30

Divide both sides by

- 1

x = 30

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 30

\frac{9}{12} = \frac{21}{m}

\frac{6}{v + 5} = \frac{2}{v + 5} + 4

\frac{- 3 x + 4}{8 x} = x

\frac{2}{5} = \frac{10000}{x}

- 9 = - \frac{3}{v}

What is the answer to 8/(3x-2)= 3/(x+3) ?
The answer to 8/(3x-2)= 3/(x+3) is x=30
Solve for x: 8/(3x-2)= 3/(x+3)
The solution is x=30