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

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

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

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Multiply both sides by

x

x^{2} + 3 (x - 2) x = 3 (2 x - 3)

Solve

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

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

x^{- 1} + x - 2 = 0

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

L^{- 1} = [\frac{s}{s ^{2} + 2 s - 3}]

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

D = 1000000 n^{- 2}

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