What is the answer to 1/(4x-16)+2=-5/(x-4) ?

The answer to 1/(4x-16)+2=-5/(x-4) is x= 11/8

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1/(4x-16)+2=-5/(x-4)

\frac{1}{4 x - 16} + 2 = - \frac{5}{x - 4}

x = \frac{11}{8}

Decimal

x = 1.375

Solution steps

\frac{1}{4 x - 16} + 2 = - \frac{5}{x - 4}

Multiply by LCM

1 + 8 (x - 4) = - 20

Move

1

to the right side

8 (x - 4) = - 21

Divide both sides by

8

x - 4 = - \frac{21}{8}

Move

4

to the right side

x = \frac{11}{8}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{11}{8}

x - \frac{3 x}{x + 7} = \frac{5}{x + 7}

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

y, x = \frac{y - 1}{y - 3}

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

\frac{2 π}{x} = \frac{2 π}{3.14}

What is the answer to 1/(4x-16)+2=-5/(x-4) ?
The answer to 1/(4x-16)+2=-5/(x-4) is x= 11/8
Solve for x: 1/(4x-16)+2=-5/(x-4)
The solution is x= 11/8