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

The answer to (x-1)/5 = 1/(x+3) is x=2,x=-4

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(x-1)/5 = 1/(x+3)

\frac{x - 1}{5} = \frac{1}{x + 3}

x = 2, x = - 4

Solution steps

\frac{x - 1}{5} = \frac{1}{x + 3}

Cross multiply

(x - 1) (x + 3) = 5

Solve

(x - 1) (x + 3) = 5 : x = 2, x = - 4

x = 2, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 2, x = - 4

\frac{2 π}{x} = π

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

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

\frac{2 π}{x} = 4

\frac{1}{4 x + x} = \frac{- 3 + 1}{2 x}

What is the answer to (x-1)/5 = 1/(x+3) ?
The answer to (x-1)/5 = 1/(x+3) is x=2,x=-4
Solve for x: (x-1)/5 = 1/(x+3)
The solution is x=2,x=-4