What is the answer to 3/(x+8)=(10)/(2x-9) ?

The answer to 3/(x+8)=(10)/(2x-9) is x=-107/4

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3/(x+8)=(10)/(2x-9)

\frac{3}{x + 8} = \frac{10}{2 x - 9}

x = - \frac{107}{4}

Decimal Notation

x = - 26.75

Solution steps

\frac{3}{x + 8} = \frac{10}{2 x - 9}

Cross multiply

6 x - 27 = 10 x + 80

Move

27

to the right side

6 x = 10 x + 107

Move

10 x

to the left side

- 4 x = 107

Divide both sides by

- 4

x = - \frac{107}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 8, x = \frac{9}{2}

Combine undefined points with solutions:

x = - \frac{107}{4}

\frac{m}{m + 1} + \frac{5}{m - 1} = 1

(1) = \frac{1}{s}

x, z = \frac{x - 5}{m x}

\frac{24}{5} = \frac{- 31}{2 n}

f, \frac{k - g}{f - 7} = h

What is the answer to 3/(x+8)=(10)/(2x-9) ?
The answer to 3/(x+8)=(10)/(2x-9) is x=-107/4
Solve for x: 3/(x+8)=(10)/(2x-9)
The solution is x=-107/4