What is the answer to 2/(2x-7)= 2/(4x+1) ?

The answer to 2/(2x-7)= 2/(4x+1) is x=-4

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2/(2x-7)= 2/(4x+1)

\frac{2}{2 x - 7} = \frac{2}{4 x + 1}

x = - 4

Solution steps

\frac{2}{2 x - 7} = \frac{2}{4 x + 1}

Cross multiply

8 x + 2 = 4 x - 14

Move

2

to the right side

8 x = 4 x - 16

Move

4 x

to the left side

4 x = - 16

Divide both sides by

4

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{2}, x = - \frac{1}{4}

Combine undefined points with solutions:

x = - 4

\frac{8 x}{x + 1} - 5 = \frac{8}{x ^{2} + x}

x + 7 = - \frac{12}{x}

y, y^{2} = \frac{x ^{2} - 49}{x ^{2} + 49}

f, - f = \frac{x}{x ^{2} + 1}

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

What is the answer to 2/(2x-7)= 2/(4x+1) ?
The answer to 2/(2x-7)= 2/(4x+1) is x=-4
Solve for x: 2/(2x-7)= 2/(4x+1)
The solution is x=-4