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

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

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

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

x = 1, x = \frac{1}{2}

Decimal Notation

x = 1, x = 0.5

Solution steps

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

Cross multiply

(2 x - 3) \cdot 3 x = - 3

Solve

(2 x - 3) \cdot 3 x = - 3 : x = 1, x = \frac{1}{2}

x = 1, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{1}{2}

\frac{x}{( x + 1 )} + \frac{( x + 1 )}{x} = \frac{21}{12}

\frac{2}{5} = \frac{2.4}{b}

\frac{7}{x + 2} = \frac{3}{x - 5}

\frac{( a ^{3} - 16 )}{8 a} = \frac{3}{8 \cdot a ^{2}}

x^{- 1} 6 x + 64 = 0

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