What is the answer to ((3x-2))/(3+4x)=6 ?

The answer to ((3x-2))/(3+4x)=6 is x=-20/21

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((3x-2))/(3+4x)=6

\frac{( 3 x - 2 )}{3 + 4 x} = 6

x = - \frac{20}{21}

Decimal Notation

x = - 0.95238 \dots

Solution steps

\frac{( 3 x - 2 )}{3 + 4 x} = 6

Simplify

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

\frac{3 x - 2}{3 + 4 x} = 6

Multiply both sides by

3 + 4 x

3 x - 2 = 6 (3 + 4 x)

Expand

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

3 x - 2 = 18 + 24 x

Move

2

to the right side

3 x = 24 x + 20

Move

24 x

to the left side

- 21 x = 20

Divide both sides by

- 21

x = - \frac{20}{21}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{4}

Combine undefined points with solutions:

x = - \frac{20}{21}

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

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

\frac{15}{- 6 x} = - 4

1 - \frac{36}{x ^{2}} = 0

\frac{2 x + 3}{x - 1} - \frac{x + 2}{3 x - 4} = 0

What is the answer to ((3x-2))/(3+4x)=6 ?
The answer to ((3x-2))/(3+4x)=6 is x=-20/21
Solve for x: ((3x-2))/(3+4x)=6
The solution is x=-20/21