What is the answer to (10)/(2x-3)=x-1 ?

The answer to (10)/(2x-3)=x-1 is x= 7/2 ,x=-1

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(10)/(2x-3)=x-1

\frac{10}{2 x - 3} = x - 1

x = \frac{7}{2}, x = - 1

Decimal Notation

x = 3.5, x = - 1

Solution steps

\frac{10}{2 x - 3} = x - 1

Multiply both sides by

2 x - 3

10 = x (2 x - 3) - (2 x - 3)

Solve

10 = x (2 x - 3) - (2 x - 3) : x = \frac{7}{2}, x = - 1

x = \frac{7}{2}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{7}{2}, x = - 1

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

\frac{4 x + 8}{3} - \frac{4}{x} = 0

x + 1 = \frac{72}{x}

1 - \frac{4}{x ^{2}} = 0

y, 3 x = \frac{5 + y}{6 - y}

What is the answer to (10)/(2x-3)=x-1 ?
The answer to (10)/(2x-3)=x-1 is x= 7/2 ,x=-1
Solve for x: (10)/(2x-3)=x-1
The solution is x= 7/2 ,x=-1