What is the answer to 1+(x-2)/(x+1)=3x-5 ?

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

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1+(x-2)/(x+1)=3x-5

1 + \frac{x - 2}{x + 1} = 3 x - 5

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

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

1 + \frac{x - 2}{x + 1} = 3 x - 5

Move

1

to the right side

\frac{x - 2}{x + 1} = 3 x - 6

Multiply both sides by

x + 1

x - 2 = 3 x (x + 1) - 6 (x + 1)

Solve

x - 2 = 3 x (x + 1) - 6 (x + 1) : x = 2, x = - \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

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

1 - \frac{7}{x ^{2}} = 0

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

A X (D + BX)^{- 1} = C

f, f (x)^{- 1} (x) = x^{3} + x

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