What is the answer to 3(x-1)= 4/(x+1)-5 ?

The answer to 3(x-1)= 4/(x+1)-5 is x= 1/3 ,x=-2

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3(x-1)= 4/(x+1)-5

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

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

Decimal

x = 0.33333 \dots, x = - 2

Solution steps

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

Multiply both sides by

x + 1

3 (x - 1) (x + 1) = 4 - 5 (x + 1)

Solve

3 (x - 1) (x + 1) = 4 - 5 (x + 1) : x = \frac{1}{3}, x = - 2

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

\frac{6}{x + 2} = \frac{3}{4}

\frac{a}{a x - 1} + \frac{b}{b x - 1} = a + b

\frac{t - 9}{t} = \frac{80}{t + 9}

1 - \frac{256}{( x + 4 ) ^{2}} = 0

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

What is the answer to 3(x-1)= 4/(x+1)-5 ?
The answer to 3(x-1)= 4/(x+1)-5 is x= 1/3 ,x=-2
Solve for x: 3(x-1)= 4/(x+1)-5
The solution is x= 1/3 ,x=-2