What is the answer to 1/2+3/(x-1)=1 ?

The answer to 1/2+3/(x-1)=1 is x=7

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1/2+3/(x-1)=1

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

x = 7

Solution steps

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

Multiply by LCM

x + 5 = 2 x - 2

Move

5

to the right side

x = 2 x - 7

Move

2 x

to the left side

- x = - 7

Divide both sides by

- 1

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 7

\frac{6}{10} = \frac{3}{x + 3}

x^{3} + \frac{9}{x ^{3}} = 10

\frac{3}{x y - y ^{2}} = 0

- 0.4 = \frac{3}{g - 0.9}

- 6 = \frac{3}{v}