What is the answer to 7/(3x+10)= 2/(x-3) ?

The answer to 7/(3x+10)= 2/(x-3) is x=41

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7/(3x+10)= 2/(x-3)

\frac{7}{3 x + 10} = \frac{2}{x - 3}

x = 41

Solution steps

\frac{7}{3 x + 10} = \frac{2}{x - 3}

Cross multiply

7 x - 21 = 6 x + 20

Move

21

to the right side

7 x = 6 x + 41

Move

6 x

to the left side

x = 41

Verify Solutions

Find undefined (singularity) points:

x = - \frac{10}{3}, x = 3

Combine undefined points with solutions:

x = 41

x^{- 2} + 4 x^{- 1} + 3 = 0

\frac{2}{3} = \frac{8}{x}

\frac{6}{2 m + 7} = \frac{10}{3 m - 8}

\frac{10}{x + 18} = \frac{x + 1}{6}

4 + \frac{3}{x + 1} = \frac{3}{5}

What is the answer to 7/(3x+10)= 2/(x-3) ?
The answer to 7/(3x+10)= 2/(x-3) is x=41
Solve for x: 7/(3x+10)= 2/(x-3)
The solution is x=41