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

The answer to (2x-9)/(3x-2)=-3 is x= 15/11

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

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

x = \frac{15}{11}

Decimal Notation

x = 1.36363 \dots

Solution steps

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

Multiply both sides by

3 x - 2

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

Expand

- 3 (3 x - 2) : - 9 x + 6

2 x - 9 = - 9 x + 6

Move

9

to the right side

2 x = - 9 x + 15

Move

9 x

to the left side

11 x = 15

Divide both sides by

11

x = \frac{15}{11}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{15}{11}

z + \frac{1}{z} = 0

\frac{10}{x ^{3}} = 0

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

\frac{6}{( x + 2 ) ^{3}} = 0

1.612 = 0.4 + 1 + \frac{50000}{X}

What is the answer to (2x-9)/(3x-2)=-3 ?
The answer to (2x-9)/(3x-2)=-3 is x= 15/11
Solve for x: (2x-9)/(3x-2)=-3
The solution is x= 15/11