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

The answer to (x-2)/5 =1-1/(2x-3) is x= 13/2 ,x=2

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

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

x = \frac{13}{2}, x = 2

Decimal Notation

x = 6.5, x = 2

Solution steps

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

Multiply by LCM

(x - 2) (2 x - 3) = 5 (2 x - 3) - 5

Solve

(x - 2) (2 x - 3) = 5 (2 x - 3) - 5 : x = \frac{13}{2}, x = 2

x = \frac{13}{2}, x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{13}{2}, x = 2

x, y = \frac{x}{2 + x + 1}

\frac{x}{3 x - 5} = 2 x + 61 - 111 - 11

x, a = \frac{8 k + 2 p}{x}

\frac{2 x - 3}{x ^{2}} + 1 = 0

2 y - 5 + 3 y = \frac{25 + 13}{3 y}

What is the answer to (x-2)/5 =1-1/(2x-3) ?
The answer to (x-2)/5 =1-1/(2x-3) is x= 13/2 ,x=2
Solve for x: (x-2)/5 =1-1/(2x-3)
The solution is x= 13/2 ,x=2