What is the answer to (11)/(x+4)= 6/(x-2) ?

The answer to (11)/(x+4)= 6/(x-2) is x= 46/5

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(11)/(x+4)= 6/(x-2)

\frac{11}{x + 4} = \frac{6}{x - 2}

x = \frac{46}{5}

Decimal Notation

x = 9.2

Solution steps

\frac{11}{x + 4} = \frac{6}{x - 2}

Cross multiply

11 x - 22 = 6 x + 24

Move

22

to the right side

11 x = 6 x + 46

Move

6 x

to the left side

5 x = 46

Divide both sides by

5

x = \frac{46}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

x = \frac{46}{5}

\frac{3}{8} = \frac{15}{5 x - 2}

\frac{1}{4} = \frac{3}{x} - \frac{1}{2}

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

\frac{1}{x} = \frac{3}{15}

\frac{8}{x} + 2 = \frac{x + 4}{x - 6}

What is the answer to (11)/(x+4)= 6/(x-2) ?
The answer to (11)/(x+4)= 6/(x-2) is x= 46/5
Solve for x: (11)/(x+4)= 6/(x-2)
The solution is x= 46/5