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

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

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x/(x+6)=(2x)/(x+1)-1

\frac{x}{x + 6} = \frac{2 x}{x + 1} - 1

x = \frac{3}{2}

Solution steps

\frac{x}{x + 6} = \frac{2 x}{x + 1} - 1

Multiply by LCM

x^{2} + x = x^{2} + 5 x - 6

Subtract

x^{2} + 5 x

from both sides

x^{2} + x - (x^{2} + 5 x) = x^{2} + 5 x - 6 - (x^{2} + 5 x)

Simplify

- 4 x = - 6

Divide both sides by

- 4

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = - 1

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{70}{p} = - 7

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

x, x - 81 x^{- 3} = 0

8 x^{- 3} = (8 x)^{3}

\frac{6}{4 x - 1} = \frac{2}{9}

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