What is the answer to 2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2 ?

The answer to 2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2 is x=-5

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2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2

2 x - \frac{3}{5} (4 x + 20) - \frac{2}{3} (\frac{3 x}{4} + 3) = - \frac{19}{2}

x = - 5

Solution steps

2 x - \frac{3}{5} (4 x + 20) - \frac{2}{3} (\frac{3 x}{4} + 3) = - \frac{19}{2}

Multiply

\frac{2}{3} (\frac{3 x}{4} + 3) : \frac{2 ( \frac{3 x}{4} + 3 )}{3}

2 x - \frac{3}{5} (4 x + 20) - \frac{2 ( \frac{3 x}{4} + 3 )}{3} = - \frac{19}{2}

Multiply by LCM

60 x - 18 (4 x + 20) - 5 (3 x + 12) = - 285

Expand

60 x - 18 (4 x + 20) - 5 (3 x + 12) : - 27 x - 420

- 27 x - 420 = - 285

Move

420

to the right side

- 27 x = 135

Divide both sides by

- 27

x = - 5

x^{2} - 6 x - 40

8 a^{3} + 27 b^{3}

\frac{( a ^{2} - b ^{2} )}{a + b} - (a + b)^{2} + 2 (a^{2} + ab)

(5^{2})^{- 3}

(\frac{81}{16})^{- \frac{3}{4}}

What is the answer to 2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2 ?
The answer to 2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2 is x=-5
Solve for x: 2x-3/5 (4x+20)-2/3 ((3x)/4+3)=-19/2
The solution is x=-5