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

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

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

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

x = 5, x = - 3

Solution steps

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

Cross multiply

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

Solve

(x - 5) (2 x + 1) = (3 x + 4) (x - 5) : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}, x = - \frac{1}{2}

Combine undefined points with solutions:

x = 5, x = - 3

T + \frac{a}{N}

\frac{16}{x ^{3}} = 0

y, y - \frac{1}{x ^{2}} = 0

\frac{x}{x + 1} - \frac{1}{x ^{2} + x} = - 6

\frac{6}{5} x - \frac{3 x}{4} = \frac{16}{x}

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