What is the answer to -(2/3)/((1/2*x+25))-31/2 = 3/4 ?

The answer to -(2/3)/((1/2*x+25))-31/2 = 3/4 is x=-9766/195

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-(2/3)/((1/2*x+25))-31/2 = 3/4

- \frac{\frac{2}{3}}{( \frac{1}{2} \cdot x + 25 )} - \frac{31}{2} = \frac{3}{4}

x = - \frac{9766}{195}

Decimal Notation

x = - 50.08205 \dots

Solution steps

- \frac{\frac{2}{3}}{( \frac{1}{2} x + 25 )} - \frac{31}{2} = \frac{3}{4}

Multiply by LCM

- 186 x - 9316 = 9 x + 450

Move

9316

to the right side

- 186 x = 9 x + 9766

Move

9 x

to the left side

- 195 x = 9766

Divide both sides by

- 195

x = - \frac{9766}{195}

Verify Solutions

Find undefined (singularity) points:

x = - 50

Combine undefined points with solutions:

x = - \frac{9766}{195}

a, 4 \frac{a}{b} + \frac{b}{a} = 4

(\frac{1}{4 x})^{3} = 4

\frac{4}{x} + \frac{x}{( x + 3 )} = \frac{9}{( x ^{2} + 3 x )}

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

\frac{a ^{3} ( 2 a - x )}{2 ( a - x ) ^{2}} = 3 a^{2}

What is the answer to -(2/3)/((1/2*x+25))-31/2 = 3/4 ?
The answer to -(2/3)/((1/2*x+25))-31/2 = 3/4 is x=-9766/195
Solve for x: -(2/3)/((1/2*x+25))-31/2 = 3/4
The solution is x=-9766/195