What is the answer to 9/(x+3)=1-x/(x-3) ?

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

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9/(x+3)=1-x/(x-3)

\frac{9}{x + 3} = 1 - \frac{x}{x - 3}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{9}{x + 3} = 1 - \frac{x}{x - 3}

Multiply by LCM

9 x - 27 = - 3 x - 9

Move

27

to the right side

9 x = - 3 x + 18

Move

3 x

to the left side

12 x = 18

Divide both sides by

12

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 3

Combine undefined points with solutions:

x = \frac{3}{2}

π = \frac{2 π}{b}

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

x, f = - \frac{k}{x ^{2}}

0.2 = \frac{x ^{2}}{45 - x}

\frac{3}{x} = \frac{9}{4 x} + 3

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