What is the answer to 3/(5+x)= 6/(x-2) ?

The answer to 3/(5+x)= 6/(x-2) is x=-12

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3/(5+x)= 6/(x-2)

\frac{3}{5 + x} = \frac{6}{x - 2}

x = - 12

Solution steps

\frac{3}{5 + x} = \frac{6}{x - 2}

Cross multiply

3 x - 6 = 30 + 6 x

Move

6

to the right side

3 x = 6 x + 36

Move

6 x

to the left side

- 3 x = 36

Divide both sides by

- 3

x = - 12

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 2

Combine undefined points with solutions:

x = - 12

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

b, \frac{( a + b )}{b} = a

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

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

\frac{6}{10} = \frac{3}{x + 3}

What is the answer to 3/(5+x)= 6/(x-2) ?
The answer to 3/(5+x)= 6/(x-2) is x=-12
Solve for x: 3/(5+x)= 6/(x-2)
The solution is x=-12