What is the answer to (x-7}{3x}+1=\frac{x+5)/x ?

The answer to (x-7}{3x}+1=\frac{x+5)/x is x=22

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(x-7}{3x}+1=\frac{x+5)/x

\frac{x - 7}{3 x} + 1 = \frac{x + 5}{x}

x = 22

Solution steps

\frac{x - 7}{3 x} + 1 = \frac{x + 5}{x}

Multiply by LCM

4 x - 7 = 3 x + 15

Move

7

to the right side

4 x = 3 x + 22

Move

3 x

to the left side

x = 22

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 22

\frac{45}{30} = \frac{36}{x}

\frac{x}{- 7 x + 2} = - 2 x - 33

\frac{5 + x}{8 + x} = \frac{3}{4}

\frac{a x + b}{c x + d} = e

\frac{a + 14}{a} = \frac{9 a}{a + 14}

What is the answer to (x-7}{3x}+1=\frac{x+5)/x ?
The answer to (x-7}{3x}+1=\frac{x+5)/x is x=22
Solve for x: (x-7}{3x}+1=\frac{x+5)/x
The solution is x=22