What is the answer to (11)/(x-5)=(-3)/(7+2x) ?

The answer to (11)/(x-5)=(-3)/(7+2x) is x=-62/25

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(11)/(x-5)=(-3)/(7+2x)

\frac{11}{x - 5} = \frac{- 3}{7 + 2 x}

x = - \frac{62}{25}

Decimal Notation

x = - 2.48

Solution steps

\frac{11}{x - 5} = \frac{- 3}{7 + 2 x}

Cross multiply

77 + 22 x = - 3 x + 15

Move

77

to the right side

22 x = - 3 x - 62

Move

3 x

to the left side

25 x = - 62

Divide both sides by

25

x = - \frac{62}{25}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - \frac{7}{2}

Combine undefined points with solutions:

x = - \frac{62}{25}

x (5 x - 3 - \frac{2}{x}) = 0

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

2 = \frac{5}{x}

\frac{6}{x} = \frac{2}{3}

\frac{8}{x + 3} + \frac{3}{x + 8} = 1

What is the answer to (11)/(x-5)=(-3)/(7+2x) ?
The answer to (11)/(x-5)=(-3)/(7+2x) is x=-62/25
Solve for x: (11)/(x-5)=(-3)/(7+2x)
The solution is x=-62/25