What is the answer to x+(2x+3)/(x-1)= 5/(x-1) ?

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

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x+(2x+3)/(x-1)= 5/(x-1)

x + \frac{2 x + 3}{x - 1} = \frac{5}{x - 1}

x = - 2

Solution steps

x + \frac{2 x + 3}{x - 1} = \frac{5}{x - 1}

Multiply both sides by

x - 1

x (x - 1) + 2 x + 3 = 5

Solve

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

x = 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x = - 2

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

x, \frac{1}{x} = \frac{1}{y} + \frac{1}{n}

5 - \frac{1600}{x ^{2}} = 0

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

0 = - \frac{1}{x ^{2}} + \frac{1}{x}

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