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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

3 x + 4

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

Expand

- 3 (3 x + 4) : - 9 x - 12

x - 2 = - 9 x - 12

Move

2

to the right side

x = - 9 x - 10

Move

9 x

to the left side

10 x = - 10

Divide both sides by

10

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - 1

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

\frac{3 x - 7}{x + 6} = - 2

\frac{2}{10} = \frac{4}{n + 5}

64 = \frac{x ^{2}}{( 1 - x ) ^{2}}

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