What is the answer to 6x+5=(3x+5)/(x-1) ?

The answer to 6x+5=(3x+5)/(x-1) is x= 5/3 ,x=-1

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6x+5=(3x+5)/(x-1)

6 x + 5 = \frac{3 x + 5}{x - 1}

x = \frac{5}{3}, x = - 1

Decimal Notation

x = 1.66666 \dots, x = - 1

Solution steps

6 x + 5 = \frac{3 x + 5}{x - 1}

Multiply both sides by

x - 1

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

Solve

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

x = \frac{5}{3}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{5}{3}, x = - 1

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

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

\frac{9}{x} = 0

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

\frac{- 4}{x + 3} = \frac{5}{x - 3}

What is the answer to 6x+5=(3x+5)/(x-1) ?
The answer to 6x+5=(3x+5)/(x-1) is x= 5/3 ,x=-1
Solve for x: 6x+5=(3x+5)/(x-1)
The solution is x= 5/3 ,x=-1