What is the answer to 9/5 =2-1/(x+3) ?

The answer to 9/5 =2-1/(x+3) is x=2

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9/5 =2-1/(x+3)

\frac{9}{5} = 2 - \frac{1}{x + 3}

x = 2

Solution steps

\frac{9}{5} = 2 - \frac{1}{x + 3}

Multiply by LCM

9 x + 27 = 10 x + 25

Move

27

to the right side

9 x = 10 x - 2

Move

10 x

to the left side

- x = - 2

Divide both sides by

- 1

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 2

\frac{4}{5} = \frac{12}{m}

\frac{3}{m + 4} = \frac{9}{14}

\frac{3}{b - 4} = \frac{9}{3}

\frac{4}{5 - 2 x} = \frac{3}{3 x - 1}

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