What is the answer to 5/(x+3)+(3x)/(x+4)=2 ?

The answer to 5/(x+3)+(3x)/(x+4)=2 is x=2,x=-2

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

\frac{5}{x + 3} + \frac{3 x}{x + 4} = 2

x = 2, x = - 2

Solution steps

\frac{5}{x + 3} + \frac{3 x}{x + 4} = 2

Multiply by LCM

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

Solve

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

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 4

Combine undefined points with solutions:

x = 2, x = - 2

\frac{x - 3}{x + 4} = \frac{4}{5}

0.2 = \frac{x ^{2}}{65 - x}

x - 2 - \frac{x ^{2} - 3 x + 2}{x - 1} = 0

0.2 = \frac{x ^{2}}{15 - x}

\frac{w - 2}{w} = \frac{3}{6}

What is the answer to 5/(x+3)+(3x)/(x+4)=2 ?
The answer to 5/(x+3)+(3x)/(x+4)=2 is x=2,x=-2
Solve for x: 5/(x+3)+(3x)/(x+4)=2
The solution is x=2,x=-2