What is the answer to 3/5+7/(x+2)=2 ?

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

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3/5+7/(x+2)=2

\frac{3}{5} + \frac{7}{x + 2} = 2

x = 3

Solution steps

\frac{3}{5} + \frac{7}{x + 2} = 2

Multiply by LCM

3 x + 41 = 10 x + 20

Move

41

to the right side

3 x = 10 x - 21

Move

10 x

to the left side

- 7 x = - 21

Divide both sides by

- 7

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 3

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

\frac{1}{x - 2} + 3 = \frac{10}{x - 2}

x^{2} = 2401 x^{- 2}

x = \frac{x ^{2} + 5 x + 4}{x - 3}

\frac{3}{a} + \frac{1}{2} = 1