What is the answer to 8/(x-6)= 5/(x+2) ?

The answer to 8/(x-6)= 5/(x+2) is x=-46/3

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8/(x-6)= 5/(x+2)

\frac{8}{x - 6} = \frac{5}{x + 2}

x = - \frac{46}{3}

Decimal Notation

x = - 15.33333 \dots

Solution steps

\frac{8}{x - 6} = \frac{5}{x + 2}

Cross multiply

8 x + 16 = 5 x - 30

Move

16

to the right side

8 x = 5 x - 46

Move

5 x

to the left side

3 x = - 46

Divide both sides by

3

x = - \frac{46}{3}

Verify Solutions

Find undefined (singularity) points:

x = 6, x = - 2

Combine undefined points with solutions:

x = - \frac{46}{3}

7 = \frac{98}{w}

40 = \frac{15}{x}

x, \frac{12 + 13 x}{4 x} = x

\frac{2}{x} + \frac{1}{x - 2} = 0

a, z = \frac{a - m}{a}

What is the answer to 8/(x-6)= 5/(x+2) ?
The answer to 8/(x-6)= 5/(x+2) is x=-46/3
Solve for x: 8/(x-6)= 5/(x+2)
The solution is x=-46/3