What is the answer to 6/(x+3)= 4/(3x-7) ?

The answer to 6/(x+3)= 4/(3x-7) is x= 27/7

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6/(x+3)= 4/(3x-7)

\frac{6}{x + 3} = \frac{4}{3 x - 7}

x = \frac{27}{7}

Decimal Notation

x = 3.85714 \dots

Solution steps

\frac{6}{x + 3} = \frac{4}{3 x - 7}

Cross multiply

18 x - 42 = 4 x + 12

Move

42

to the right side

18 x = 4 x + 54

Move

4 x

to the left side

14 x = 54

Divide both sides by

14

x = \frac{27}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = \frac{7}{3}

Combine undefined points with solutions:

x = \frac{27}{7}

\frac{1}{x} = 10.78

\frac{8}{c + 2} = c

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

\frac{3}{2 g} = \frac{6}{8}

f, f^{- 1} (x) = x

What is the answer to 6/(x+3)= 4/(3x-7) ?
The answer to 6/(x+3)= 4/(3x-7) is x= 27/7
Solve for x: 6/(x+3)= 4/(3x-7)
The solution is x= 27/7