What is the answer to (x+3)/(8x)=77 ?

The answer to (x+3)/(8x)=77 is x= 1/205

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(x+3)/(8x)=77

\frac{x + 3}{8 x} = 77

x = \frac{1}{205}

Solution steps

\frac{x + 3}{8 x} = 77

Multiply both sides by

x

\frac{x + 3}{8} = 77 x

Multiply both sides by

8

x + 3 = 616 x

Move

3

to the right side

x = 616 x - 3

Move

616 x

to the left side

- 615 x = - 3

Divide both sides by

- 615

x = \frac{1}{205}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{205}

x - 3 \cdot \frac{2 x + 1}{2} = - 3 (- \frac{3 x + 9}{3} - 2 + x) - \frac{x}{2}

(4 x^{3} y)^{2}

9 a^{2} - 16 b^{2}

4 x^{2} - 12 x = - 9

x^{2} + 7 x - 18