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

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

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

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

x = 5

Solution steps

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

Multiply both sides by

x + 1

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

Solve

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

x = 5, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 1

Since the equation is undefined for:

- 1

x = 5

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

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

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

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

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

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