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

The answer to (x-5)/4+5/(x+2)= 7/2 is x=18,x=-1

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

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

x = 18, x = - 1

Solution steps

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

Multiply by LCM

(x - 5) (x + 2) + 20 = 14 (x + 2)

Solve

(x - 5) (x + 2) + 20 = 14 (x + 2) : x = 18, x = - 1

x = 18, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 18, x = - 1

\frac{1}{2 x - 3} = \frac{3}{4 x + 2}

\frac{1}{x + 1} = \frac{1}{1.3}

\frac{1}{2 x} - \frac{3}{4 x} = 1

D, 8 = \frac{b}{D}

\frac{x - 2.4}{x + 3.2} = \frac{2.88}{3.84}

What is the answer to (x-5)/4+5/(x+2)= 7/2 ?
The answer to (x-5)/4+5/(x+2)= 7/2 is x=18,x=-1
Solve for x: (x-5)/4+5/(x+2)= 7/2
The solution is x=18,x=-1