What is the answer to 3/(x+2)= 5/(2x-7) ?

The answer to 3/(x+2)= 5/(2x-7) is x=31

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3/(x+2)= 5/(2x-7)

\frac{3}{x + 2} = \frac{5}{2 x - 7}

x = 31

Solution steps

\frac{3}{x + 2} = \frac{5}{2 x - 7}

Cross multiply

6 x - 21 = 5 x + 10

Move

21

to the right side

6 x = 5 x + 31

Move

5 x

to the left side

x = 31

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 31

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

1 + \frac{4 x + 2}{2 x} = \frac{5}{x}

0.5 = \frac{1}{x}

M, t = \frac{b}{4 - M ^{3}}

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

What is the answer to 3/(x+2)= 5/(2x-7) ?
The answer to 3/(x+2)= 5/(2x-7) is x=31
Solve for x: 3/(x+2)= 5/(2x-7)
The solution is x=31