What is the answer to 5/(2x+1)+6/(x+1)=3 ?

The answer to 5/(2x+1)+6/(x+1)=3 is x=2,x=-2/3

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5/(2x+1)+6/(x+1)=3

\frac{5}{2 x + 1} + \frac{6}{x + 1} = 3

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

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

\frac{5}{2 x + 1} + \frac{6}{x + 1} = 3

Multiply by LCM

5 (x + 1) + 6 (2 x + 1) = 3 (x + 1) (2 x + 1)

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

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

2 = \frac{3}{7} - \frac{6}{x}

\frac{x}{x - 1} + 8 = \frac{1}{x - 1}

(\frac{8}{x}) + 2 = 4

\frac{2}{x} = - 4

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

What is the answer to 5/(2x+1)+6/(x+1)=3 ?
The answer to 5/(2x+1)+6/(x+1)=3 is x=2,x=-2/3
Solve for x: 5/(2x+1)+6/(x+1)=3
The solution is x=2,x=-2/3