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

The answer to 5/2 = 2/(x+3)-2 is x=-23/9

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

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

x = - \frac{23}{9}

Decimal Notation

x = - 2.55555 \dots

Solution steps

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

Multiply by LCM

5 x + 15 = - 4 x - 8

Move

15

to the right side

5 x = - 4 x - 23

Move

4 x

to the left side

9 x = - 23

Divide both sides by

9

x = - \frac{23}{9}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{23}{9}

1 = \frac{3}{m + 3} + \frac{3 m}{m + 3}

\frac{2}{5} = \frac{6}{b} - 2

t, R = \frac{C - S}{t}

\frac{1}{x - 4} = 0

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

What is the answer to 5/2 = 2/(x+3)-2 ?
The answer to 5/2 = 2/(x+3)-2 is x=-23/9
Solve for x: 5/2 = 2/(x+3)-2
The solution is x=-23/9