What is the answer to -(2x)/(x+2)+5x= 4/(x+2) ?

The answer to -(2x)/(x+2)+5x= 4/(x+2) is x= 2/5

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-(2x)/(x+2)+5x= 4/(x+2)

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

x = \frac{2}{5}

Decimal

x = 0.4

Solution steps

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

Multiply both sides by

x + 2

- 2 x + 5 x (x + 2) = 4

Solve

- 2 x + 5 x (x + 2) = 4 : x = \frac{2}{5}, x = - 2

x = \frac{2}{5}, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Since the equation is undefined for:

- 2

x = \frac{2}{5}

\frac{x ^{13} + x + 90}{x ^{2} - x + a}

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

\frac{50}{t - 2} - \frac{16}{t} = \frac{30}{t}

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

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

What is the answer to -(2x)/(x+2)+5x= 4/(x+2) ?
The answer to -(2x)/(x+2)+5x= 4/(x+2) is x= 2/5
Solve for x: -(2x)/(x+2)+5x= 4/(x+2)
The solution is x= 2/5