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

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

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

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

x = - \frac{1}{8}

Decimal Notation

x = - 0.125

Solution steps

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

Multiply both sides by

x - 8

8 x (x - 8) + x = 8

Solve

8 x (x - 8) + x = 8 : x = 8, x = - \frac{1}{8}

x = 8, x = - \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

x = 8

Since the equation is undefined for:

8

x = - \frac{1}{8}

\frac{2 z}{z + 3} = \frac{3}{z - 10} + 2

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

\frac{z ^{6} + 1}{z ^{2} + 1} = 0

a, z = b + \frac{m}{a}

\frac{1}{x} = \frac{6}{x ^{2}}

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