What is the answer to 2x-5/(x+6)=3x ?

The answer to 2x-5/(x+6)=3x is x=-5,x=-1

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2x-5/(x+6)=3x

2 x - \frac{5}{x + 6} = 3 x

x = - 5, x = - 1

Solution steps

2 x - \frac{5}{x + 6} = 3 x

Multiply both sides by

x + 6

2 x (x + 6) - 5 = 3 x (x + 6)

Solve

2 x (x + 6) - 5 = 3 x (x + 6) : x = - 5, x = - 1

x = - 5, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - 5, x = - 1

- \frac{6000}{T} + 9.8 = - \frac{3500}{T} + 4.5

\frac{7}{5 - x} = 0.5

- 7 = \frac{3}{w - 4}

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

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