What is the answer to 6/x+8/(x+5)=3 ?

The answer to 6/x+8/(x+5)=3 is x=3,x=-10/3

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6/x+8/(x+5)=3

\frac{6}{x} + \frac{8}{x + 5} = 3

x = 3, x = - \frac{10}{3}

Decimal Notation

x = 3, x = - 3.33333 \dots

Solution steps

\frac{6}{x} + \frac{8}{x + 5} = 3

Multiply by LCM

6 (x + 5) + 8 x = 3 x (x + 5)

Solve

6 (x + 5) + 8 x = 3 x (x + 5) : x = 3, x = - \frac{10}{3}

x = 3, x = - \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = 3, x = - \frac{10}{3}

\frac{a x + b}{c x + d} = 6

\frac{3}{4} = \frac{21}{x}

\frac{4}{x} = \frac{14}{5 x} + 2

x, w = \frac{2 x + 1}{x + 3}

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

What is the answer to 6/x+8/(x+5)=3 ?
The answer to 6/x+8/(x+5)=3 is x=3,x=-10/3
Solve for x: 6/x+8/(x+5)=3
The solution is x=3,x=-10/3