What is the answer to 1/(x-3)=1-(2x-7)/(x-3) ?

The answer to 1/(x-3)=1-(2x-7)/(x-3) is No Solution

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1/(x-3)=1-(2x-7)/(x-3)

\frac{1}{x - 3} = 1 - \frac{2 x - 7}{x - 3}

No Solution

Solution steps

\frac{1}{x - 3} = 1 - \frac{2 x - 7}{x - 3}

Multiply both sides by

x - 3

1 = x - 3 - (2 x - 7)

Switch sides

x - 3 - (2 x - 7) = 1

Move

3

to the right side

x - (2 x - 7) = 4

Expand

x - (2 x - 7) : - x + 7

- x + 7 = 4

Move

7

to the right side

- x = - 3

Divide both sides by

- 1

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

No Solution

\frac{9}{x + 1} - \frac{5}{2} = \frac{4}{3 x + 3}

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

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

\frac{1}{y - 2} = \frac{2 y + 1}{y ^{2} - 4}

\frac{15 - 2 x - x ^{2}}{x - 4} = 0

What is the answer to 1/(x-3)=1-(2x-7)/(x-3) ?
The answer to 1/(x-3)=1-(2x-7)/(x-3) is No Solution
Solve for x: 1/(x-3)=1-(2x-7)/(x-3)
The solution is No Solution