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

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

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

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

x = - 3

Solution steps

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

Multiply both sides by

x - 1

x (x - 1) + 3 x = 3

Solve

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

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x = - 3

\frac{7}{x + 1} - \frac{1}{2} = \frac{4}{3 x + 3}

\frac{8 x - 5}{2 x + 5} = 5 - \frac{3 x + 7}{3 x + 2}

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

\frac{y}{4} = \frac{9}{y}

\frac{b}{a x - 1} - \frac{a}{b x - 1} = 0

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