What is the answer to 5/(2x)+(x+7)/(x+4)=2 ?

The answer to 5/(2x)+(x+7)/(x+4)=2 is x=-5/2 ,x=4

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5/(2x)+(x+7)/(x+4)=2

\frac{5}{2 x} + \frac{x + 7}{x + 4} = 2

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

Decimal

x = - 2.5, x = 4

Solution steps

\frac{5}{2 x} + \frac{x + 7}{x + 4} = 2

Multiply by LCM

5 (x + 4) + 2 x (x + 7) = 4 x (x + 4)

Solve

5 (x + 4) + 2 x (x + 7) = 4 x (x + 4) : x = - \frac{5}{2}, x = 4

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

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

\frac{x - 2}{x ^{2} - 4} = 0

z + 4 + \frac{12}{z} = 0

j (x) = \frac{1}{x + 1}

4 = \frac{8}{5 + z}

\frac{9 x}{x + 1} = 5 - \frac{9}{x + 1}

What is the answer to 5/(2x)+(x+7)/(x+4)=2 ?
The answer to 5/(2x)+(x+7)/(x+4)=2 is x=-5/2 ,x=4
Solve for x: 5/(2x)+(x+7)/(x+4)=2
The solution is x=-5/2 ,x=4