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

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

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

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

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

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

Multiply both sides by

x - 3

1 + 7 (x - 3) = x

Expand

1 + 7 (x - 3) : 7 x - 20

7 x - 20 = x

Move

20

to the right side

7 x = x + 20

Move

x

to the left side

6 x = 20

Divide both sides by

6

x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{10}{3}

\frac{1}{x} = \frac{x}{25}

X, A = \frac{C D}{X}

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

\frac{x + 5}{x + 2} = \frac{2}{x}

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

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