What is the answer to 2/(x+6)-1/(x+3)=2 ?

The answer to 2/(x+6)-1/(x+3)=2 is x=-4,x=-9/2

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2/(x+6)-1/(x+3)=2

\frac{2}{x + 6} - \frac{1}{x + 3} = 2

x = - 4, x = - \frac{9}{2}

Decimal Notation

x = - 4, x = - 4.5

Solution steps

\frac{2}{x + 6} - \frac{1}{x + 3} = 2

Multiply by LCM

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

Solve

2 (x + 3) - (x + 6) = 2 (x + 6) (x + 3) : x = - 4, x = - \frac{9}{2}

x = - 4, x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = - 3

Combine undefined points with solutions:

x = - 4, x = - \frac{9}{2}

\frac{4}{s - 3} = \frac{- 2}{5}

\frac{5}{2 x} = \frac{2}{6}

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

\frac{3}{720} = \frac{4}{x}

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

What is the answer to 2/(x+6)-1/(x+3)=2 ?
The answer to 2/(x+6)-1/(x+3)=2 is x=-4,x=-9/2
Solve for x: 2/(x+6)-1/(x+3)=2
The solution is x=-4,x=-9/2