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

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

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

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

x = 5

Solution steps

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

Multiply both sides by

x + 1

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

Solve

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

135 = 5 x^{- 3}

x + \frac{6}{x} = 7

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

0 = 6 x^{2} - \frac{2}{x ^{2}} + \frac{13}{2}

\frac{4 x ^{2} - 3 x + 5}{x ^{2} - 2 x + 13} = 2

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