What is the answer to 3/(x+1)+2/7 =2 ?

The answer to 3/(x+1)+2/7 =2 is x= 3/4

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3/(x+1)+2/7 =2

\frac{3}{x + 1} + \frac{2}{7} = 2

x = \frac{3}{4}

Decimal

x = 0.75

Solution steps

\frac{3}{x + 1} + \frac{2}{7} = 2

Multiply by LCM

2 x + 23 = 14 x + 14

Move

23

to the right side

2 x = 14 x - 9

Move

14 x

to the left side

- 12 x = - 9

Divide both sides by

- 12

x = \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{3}{4}

\frac{3}{x - 19} = \frac{19}{x - 3}

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

\frac{3}{x ^{2} + 6 x - 24} = 1

\frac{x}{x ^{2} - 4} + \frac{1}{x + 2} = 3

\frac{x ^{2} - 1}{x - 3} = \frac{8}{x - 3}