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

The answer to -5/2 =(x+3)/(x-3) is x= 9/7

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

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

x = \frac{9}{7}

Decimal Notation

x = 1.28571 \dots

Solution steps

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

Cross multiply

- 5 x + 15 = 2 x + 6

Move

15

to the right side

- 5 x = 2 x - 9

Move

2 x

to the left side

- 7 x = - 9

Divide both sides by

- 7

x = \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{9}{7}

0 = \frac{x ^{2} - 4}{x ^{4} + 1}

\frac{7}{x - 6} = 19

2 π = \frac{2 π}{b}

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

14 x - 45 = \frac{14}{x}

What is the answer to -5/2 =(x+3)/(x-3) ?
The answer to -5/2 =(x+3)/(x-3) is x= 9/7
Solve for x: -5/2 =(x+3)/(x-3)
The solution is x= 9/7