What is the answer to 5/(2x+6)-1/6 = 2/(x+4) ?

The answer to 5/(2x+6)-1/6 = 2/(x+4) is x=-6,x=2

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5/(2x+6)-1/6 = 2/(x+4)

\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}

x = - 6, x = 2

Solution steps

\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}

Multiply by LCM

15 (x + 4) - (x + 3) (x + 4) = 12 (x + 3)

Solve

15 (x + 4) - (x + 3) (x + 4) = 12 (x + 3) : x = - 6, x = 2

x = - 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 4

Combine undefined points with solutions:

x = - 6, x = 2

\frac{2 x - 1}{x + 7} = \frac{3 x + 4}{x - 1}

\frac{4}{x} - \frac{7}{3 x} = \frac{2}{5}

\frac{1}{x} = 0

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{c}

\frac{500 x}{500 + x} = 100

What is the answer to 5/(2x+6)-1/6 = 2/(x+4) ?
The answer to 5/(2x+6)-1/6 = 2/(x+4) is x=-6,x=2
Solve for x: 5/(2x+6)-1/6 = 2/(x+4)
The solution is x=-6,x=2