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

The answer to (3x)/(x-3)+2=(3x-1)/(x+3) is x=1,x=-21/2

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

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

x = 1, x = - \frac{21}{2}

Decimal Notation

x = 1, x = - 10.5

Solution steps

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

Multiply by LCM

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

Solve

3 x (x + 3) + 2 (x - 3) (x + 3) = (3 x - 1) (x - 3) : x = 1, x = - \frac{21}{2}

x = 1, x = - \frac{21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = 1, x = - \frac{21}{2}

\frac{x}{x + 3} + 2 = \frac{9}{x ^{2} + 3 x}

\frac{2 x}{x - 2} = - \frac{30}{x ^{2} - 10 x + 16}

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

x - \frac{3 x + 5}{x - 9} = 2 x

\frac{1}{5 x + 7} = 2

What is the answer to (3x)/(x-3)+2=(3x-1)/(x+3) ?
The answer to (3x)/(x-3)+2=(3x-1)/(x+3) is x=1,x=-21/2
Solve for x: (3x)/(x-3)+2=(3x-1)/(x+3)
The solution is x=1,x=-21/2