What is the answer to (3x+7)/(6x)+1/x =1 ?

The answer to (3x+7)/(6x)+1/x =1 is x= 13/3

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(3x+7)/(6x)+1/x =1

\frac{3 x + 7}{6 x} + \frac{1}{x} = 1

x = \frac{13}{3}

Decimal Notation

x = 4.33333 \dots

Solution steps

\frac{3 x + 7}{6 x} + \frac{1}{x} = 1

Multiply by LCM

3 x + 13 = 6 x

Move

13

to the right side

3 x = 6 x - 13

Move

6 x

to the left side

- 3 x = - 13

Divide both sides by

- 3

x = \frac{13}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13}{3}

\frac{( a + 7 ) !}{( a + 6 ) !} = 15!

\frac{3}{1} = \frac{2}{h}

5 x^{- 2} - 17 x^{- 1} + 6 = 0

\frac{23}{x + 10} = \frac{1}{4}

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

What is the answer to (3x+7)/(6x)+1/x =1 ?
The answer to (3x+7)/(6x)+1/x =1 is x= 13/3
Solve for x: (3x+7)/(6x)+1/x =1
The solution is x= 13/3