What is the answer to 2x+3/(x+4)=x ?

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

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2x+3/(x+4)=x

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

x = - 1, x = - 3

Solution steps

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

Multiply both sides by

x + 4

2 x (x + 4) + 3 = x (x + 4)

Solve

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

x = - 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 1, x = - 3

\frac{5}{2 x} = - \frac{1}{4}

\frac{3}{x + 1} = \frac{9}{4 x + 5}

a^{2} - (- \frac{12}{a})^{2} = 32

\frac{18 x + 3}{5 x + 6} = \frac{1}{2}

4 x^{- 1} + \frac{3}{x + 1} = 0