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

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

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Solve by Factoring 1/(x-1)+1/(4x-4)=5/4

\frac{1}{( x - 1 )} + \frac{1}{( 4 x - 4 )} = \frac{5}{4}

x = 2

Solution steps

\frac{1}{( x - 1 )} + \frac{1}{( 4 x - 4 )} = \frac{5}{4}

Multiply by LCM

5 = 5 (x - 1)

Switch sides

5 (x - 1) = 5

Divide both sides by

5

x - 1 = 1

Move

1

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

16 (- 8)

3 x^{2} + 26 x - 9

\frac{4}{( 3 )}

42%

x, 1 6^{x} = 8

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