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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x + 3

x - 1 = x (x + 3)

Solve

x - 1 = x (x + 3) : x = - 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 1

v, ka = \frac{w}{v}

\frac{x}{16} = \frac{4}{x}

\frac{3}{3 b + 7} = \frac{2}{b - 7}

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

\frac{3}{x + 4} = \frac{9}{x - 2}