What is the answer to 2-(3x-2)/(x+1)=(x-4)/(2x-3) ?

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

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2-(3x-2)/(x+1)=(x-4)/(2x-3)

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

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

Decimal

x = 0.66666 \dots, x = 4

Solution steps

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

Multiply by LCM

2 (x + 1) (2 x - 3) - (3 x - 2) (2 x - 3) = (x - 4) (x + 1)

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

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

\frac{2}{x - 2} = \frac{x}{x - 2} - 4

6 = \frac{78}{w}

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

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

B, 2 = \frac{a}{2 B + q}

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