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

The answer to 2x+3= 2/(3x-1) is x= 1/2 ,x=-5/3

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

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

x = \frac{1}{2}, x = - \frac{5}{3}

Decimal Notation

x = 0.5, x = - 1.66666 \dots

Solution steps

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

Multiply both sides by

3 x - 1

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

Solve

2 x (3 x - 1) + 3 (3 x - 1) = 2 : x = \frac{1}{2}, x = - \frac{5}{3}

x = \frac{1}{2}, x = - \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{5}{3}

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

x = \frac{2}{( x ^{2} + 2 ^{2} )}

x + \frac{2}{x - 6} = 3

53 = \frac{x}{a - x}

x, 6 = \frac{x y}{x + y}

What is the answer to 2x+3= 2/(3x-1) ?
The answer to 2x+3= 2/(3x-1) is x= 1/2 ,x=-5/3
Solve for x: 2x+3= 2/(3x-1)
The solution is x= 1/2 ,x=-5/3