What is the answer to (-9x+3)/(3x+7)=-2 ?

The answer to (-9x+3)/(3x+7)=-2 is x= 17/3

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(-9x+3)/(3x+7)=-2

\frac{- 9 x + 3}{3 x + 7} = - 2

x = \frac{17}{3}

Decimal Notation

x = 5.66666 \dots

Solution steps

\frac{- 9 x + 3}{3 x + 7} = - 2

Multiply both sides by

3 x + 7

- 9 x + 3 = - 2 (3 x + 7)

Expand

- 2 (3 x + 7) : - 6 x - 14

- 9 x + 3 = - 6 x - 14

Move

3

to the right side

- 9 x = - 6 x - 17

Move

6 x

to the left side

- 3 x = - 17

Divide both sides by

- 3

x = \frac{17}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{3}

Combine undefined points with solutions:

x = \frac{17}{3}

(x + 1) (1 + \frac{1}{x + 3}) x = 0

\frac{2 x}{150 - x} = 50.2

\frac{a}{a + 6} = \frac{2}{5}

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

\frac{18}{7} = \frac{22}{x}

What is the answer to (-9x+3)/(3x+7)=-2 ?
The answer to (-9x+3)/(3x+7)=-2 is x= 17/3
Solve for x: (-9x+3)/(3x+7)=-2
The solution is x= 17/3