What is the answer to 10/4 =(x-8)/(x+9) ?

The answer to 10/4 =(x-8)/(x+9) is x=-61/3

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10/4 =(x-8)/(x+9)

\frac{10}{4} = \frac{x - 8}{x + 9}

x = - \frac{61}{3}

Decimal Notation

x = - 20.33333 \dots

Solution steps

\frac{10}{4} = \frac{x - 8}{x + 9}

Cross multiply

10 x + 90 = 4 x - 32

Move

90

to the right side

10 x = 4 x - 122

Move

4 x

to the left side

6 x = - 122

Divide both sides by

6

x = - \frac{61}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - \frac{61}{3}

\frac{7 x + 12}{4 x + 3} = \frac{2}{5}

\frac{1}{2 x + 8} = 88

\frac{9 x}{x + 1} = 6 - \frac{9}{x + 1}

\frac{3}{v - 9} = \frac{9}{6}

\frac{16}{x - 1} = \frac{50}{4}

What is the answer to 10/4 =(x-8)/(x+9) ?
The answer to 10/4 =(x-8)/(x+9) is x=-61/3
Solve for x: 10/4 =(x-8)/(x+9)
The solution is x=-61/3