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

The answer to | 7/(2-3x)|=9 is x= 11/27 ,x= 25/27

Solve for x: | 7/(2-3x)|=9

The solution is x= 11/27 ,x= 25/27

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

x = \frac{11}{27}, x = \frac{25}{27}

Solution steps

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

Simplify

\frac{7}{2 - 3 x} : \frac{7}{∣ 2 - 3 x ∣}

\frac{7}{∣ 2 - 3 x ∣} = 9

Multiply both sides by

∣ 2 - 3 x ∣

7 = 9 ∣ 2 - 3 x ∣

Solve

7 = 9 ∣ 2 - 3 x ∣ : x = \frac{11}{27} or x = \frac{25}{27}

x = \frac{11}{27}, x = \frac{25}{27}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{11}{27}, x = \frac{25}{27}

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

(2^{2} 2^{- 3} 3^{- 2} 3^{3} 4^{- 2} 4^{3})^{2}

15 y^{2} - 30 = 22 y + 7

3 x + 23 = 2 x + 59

What is the answer to | 7/(2-3x)|=9 ?
The answer to | 7/(2-3x)|=9 is x= 11/27 ,x= 25/27
Solve for x: | 7/(2-3x)|=9
The solution is x= 11/27 ,x= 25/27