What is the answer to (4x-1)/(2x+3)=(2x+1)/(6x+5) ?

The answer to (4x-1)/(2x+3)=(2x+1)/(6x+5) is x= 1/2 ,x=-4/5

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(4x-1)/(2x+3)=(2x+1)/(6x+5)

\frac{4 x - 1}{2 x + 3} = \frac{2 x + 1}{6 x + 5}

x = \frac{1}{2}, x = - \frac{4}{5}

Decimal

x = 0.5, x = - 0.8

Solution steps

\frac{4 x - 1}{2 x + 3} = \frac{2 x + 1}{6 x + 5}

Cross multiply

(4 x - 1) (6 x + 5) = (2 x + 3) (2 x + 1)

Solve

(4 x - 1) (6 x + 5) = (2 x + 3) (2 x + 1) : x = \frac{1}{2}, x = - \frac{4}{5}

x = \frac{1}{2}, x = - \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}, x = - \frac{5}{6}

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{4}{5}

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

- \frac{5}{x + 5} + 6 x = \frac{x}{x + 5}

2 x + \frac{7}{x + 6} = 3 x

8 + \frac{x}{x - 9} = \frac{9}{x - 9}

2 x + 4 = \frac{20}{x} - 2

What is the answer to (4x-1)/(2x+3)=(2x+1)/(6x+5) ?
The answer to (4x-1)/(2x+3)=(2x+1)/(6x+5) is x= 1/2 ,x=-4/5
Solve for x: (4x-1)/(2x+3)=(2x+1)/(6x+5)
The solution is x= 1/2 ,x=-4/5