What is the answer to (-1)/(2+3(1/2-2x))=-3/2 ?

The answer to (-1)/(2+3(1/2-2x))=-3/2 is x= 17/36

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(-1)/(2+3(1/2-2x))=-3/2

\frac{- 1}{2 + 3 ( \frac{1}{2} - 2 x )} = - \frac{3}{2}

x = \frac{17}{36}

Decimal Notation

x = 0.47222 \dots

Solution steps

\frac{- 1}{2 + 3 ( \frac{1}{2} - 2 x )} = - \frac{3}{2}

Cross multiply

- 4 = - (- 12 x + 7) \cdot 3

Switch sides

- (- 12 x + 7) \cdot 3 = - 4

Divide both sides by

- 3

- 12 x + 7 = \frac{4}{3}

Move

7

to the right side

- 12 x = - \frac{17}{3}

Divide both sides by

- 12

x = \frac{17}{36}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{12}

Combine undefined points with solutions:

x = \frac{17}{36}

\frac{3}{7 d} = 21

\frac{1}{10 - ( x - \frac{3}{25} )} = \frac{1}{50}

\frac{( 2 ^{x - 1} \cdot 4 ^{2 x + 1} )}{( 8 ^{x - 1} )} = 64

\frac{( 0.4 y - 3 )}{( 1.5 y + 9 )} = \frac{- 7}{5}

x, \frac{x}{y} + \frac{y}{x} = 2

What is the answer to (-1)/(2+3(1/2-2x))=-3/2 ?
The answer to (-1)/(2+3(1/2-2x))=-3/2 is x= 17/36
Solve for x: (-1)/(2+3(1/2-2x))=-3/2
The solution is x= 17/36