What is the answer to 5/((\frac{(6-x)){2})}-x/3 =2x+4 ?

The answer to 5/((\frac{(6-x)){2})}-x/3 =2x+4 is x=(15+sqrt(519))/7 ,x=(15-sqrt(519))/7

Solve for x: 5/((\frac{(6-x)){2})}-x/3 =2x+4

The solution is x=(15+sqrt(519))/7 ,x=(15-sqrt(519))/7

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

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

Decimal Notation

x = 5.39736 \dots, x = - 1.11165 \dots

Solution steps

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

Multiply by LCM

30 - x (- x + 6) = 6 x (- x + 6) + 12 (- x + 6)

Solve

30 - x (- x + 6) = 6 x (- x + 6) + 12 (- x + 6) : x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

∣ x ∣ + \frac{4 - x ^{2}}{x} = \frac{4}{x}

\frac{24}{20 + x} = \frac{24 + x}{44 + x}

x, f (x)^{- 1} = \frac{( 4 x - 3 )}{( x + 4 )}

x, \frac{15}{x} + y = 7

4 (\frac{x - 1}{x})^{2} + 8 (\frac{x + 1}{x}) - 29 = 0

What is the answer to 5/((\frac{(6-x)){2})}-x/3 =2x+4 ?
The answer to 5/((\frac{(6-x)){2})}-x/3 =2x+4 is x=(15+sqrt(519))/7 ,x=(15-sqrt(519))/7
Solve for x: 5/((\frac{(6-x)){2})}-x/3 =2x+4
The solution is x=(15+sqrt(519))/7 ,x=(15-sqrt(519))/7