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

The answer to (x+3)/x =1+(1-x)/(2x) is x=-5

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

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

x = - 5

Solution steps

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

Multiply by LCM

2 x + 6 = x + 1

Move

6

to the right side

2 x = x - 5

Move

x

to the left side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

5 - \frac{1}{t} = \frac{4}{t ^{2}}

t, M - 5 N = \frac{f}{t}

\frac{1}{( x - 2 ) ^{2}} = 0

\frac{2 x + 3}{1 - x} = 4

8 x^{- 3} = 64

What is the answer to (x+3)/x =1+(1-x)/(2x) ?
The answer to (x+3)/x =1+(1-x)/(2x) is x=-5
Solve for x: (x+3)/x =1+(1-x)/(2x)
The solution is x=-5