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

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

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

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

x = - 1

Solution steps

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

Multiply by LCM

x^{2} - 3 x = x^{2} + 6 x + 9

Subtract

x^{2} + 6 x

from both sides

x^{2} - 3 x - (x^{2} + 6 x) = x^{2} + 6 x + 9 - (x^{2} + 6 x)

Simplify

- 9 x = 9

Divide both sides by

- 9

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 3

Combine undefined points with solutions:

x = - 1

1.85 = \frac{1}{2 a ( 0.73 s ) ^{2}}

\frac{5 x - 8}{5 x + 6} = \frac{3}{4}

x - \frac{4}{3 x} = \frac{1}{3}

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

s = \frac{1 - s}{1 + s}

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