What is the answer to 3x+6/(x+1)=8 ?

The answer to 3x+6/(x+1)=8 is x=2,x=-1/3

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3x+6/(x+1)=8

3 x + \frac{6}{x + 1} = 8

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

Decimal Notation

x = 2, x = - 0.33333 \dots

Solution steps

3 x + \frac{6}{x + 1} = 8

Multiply both sides by

x + 1

3 x (x + 1) + 6 = 8 (x + 1)

Solve

3 x (x + 1) + 6 = 8 (x + 1) : x = 2, x = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

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

\frac{x - 6}{x + 2} = 2

\frac{4}{x} = 5

\frac{x ^{2} - 4 x}{( x - 2 ) ^{2}} = 0

\frac{5}{x + 2} + \frac{3}{5 x + 3} = 0