What is the answer to (1/3 x-5)/(3x+4)=2 ?

The answer to (1/3 x-5)/(3x+4)=2 is x=-39/17

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(1/3 x-5)/(3x+4)=2

\frac{\frac{1}{3} x - 5}{3 x + 4} = 2

x = - \frac{39}{17}

Decimal Notation

x = - 2.29411 \dots

Solution steps

\frac{\frac{1}{3} x - 5}{3 x + 4} = 2

Simplify

\frac{\frac{1}{3} x - 5}{3 x + 4} : \frac{x - 15}{3 ( 3 x + 4 )}

\frac{x - 15}{3 ( 3 x + 4 )} = 2

Multiply both sides by

3 (3 x + 4)

x - 15 = 6 (3 x + 4)

Expand

6 (3 x + 4) : 18 x + 24

x - 15 = 18 x + 24

Move

15

to the right side

x = 18 x + 39

Move

18 x

to the left side

- 17 x = 39

Divide both sides by

- 17

x = - \frac{39}{17}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{39}{17}

\frac{2}{x + 4} = \frac{9}{x + 3}

\frac{6 - 2 x}{1 + x} = 2

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

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

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

What is the answer to (1/3 x-5)/(3x+4)=2 ?
The answer to (1/3 x-5)/(3x+4)=2 is x=-39/17
Solve for x: (1/3 x-5)/(3x+4)=2
The solution is x=-39/17