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

The answer to x-(x+5)/(x+8)= 3/(x+8) is x=1

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

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

x = 1

Solution steps

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

Multiply both sides by

x + 8

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

Solve

x (x + 8) - (x + 5) = 3 : x = 1, x = - 8

x = 1, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 8

Since the equation is undefined for:

- 8

x = 1

\frac{20}{x} - \frac{20}{x - 2} = \frac{4}{x}

\frac{2}{x} - \frac{3 x}{2} = 7

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

2 x - \frac{32}{x} = 0

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

What is the answer to x-(x+5)/(x+8)= 3/(x+8) ?
The answer to x-(x+5)/(x+8)= 3/(x+8) is x=1
Solve for x: x-(x+5)/(x+8)= 3/(x+8)
The solution is x=1