What is the answer to -5/(x+5)+6x= x/(x+5) ?

The answer to -5/(x+5)+6x= x/(x+5) is x= 1/6

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-5/(x+5)+6x= x/(x+5)

- \frac{5}{x + 5} + 6 x = \frac{x}{x + 5}

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

- \frac{5}{x + 5} + 6 x = \frac{x}{x + 5}

Multiply both sides by

x + 5

- 5 + 6 x (x + 5) = x

Solve

- 5 + 6 x (x + 5) = x : x = \frac{1}{6}, x = - 5

x = \frac{1}{6}, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 5

Since the equation is undefined for:

- 5

x = \frac{1}{6}

2 x + \frac{7}{x + 6} = 3 x

8 + \frac{x}{x - 9} = \frac{9}{x - 9}

2 x + 4 = \frac{20}{x} - 2

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

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

What is the answer to -5/(x+5)+6x= x/(x+5) ?
The answer to -5/(x+5)+6x= x/(x+5) is x= 1/6
Solve for x: -5/(x+5)+6x= x/(x+5)
The solution is x= 1/6