What is the answer to ((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32)) ?

The answer to ((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32)) is x=-3/4

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((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32))

\frac{( 3 x + 8 )}{16} - (\frac{( 12 x - 6 )}{( 15 - 30 )}) + \frac{x}{3} = \frac{( 7 x )}{12} - (\frac{( 2 x + 16 )}{32})

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

\frac{( 3 x + 8 )}{16} - (\frac{( 12 x - 6 )}{( 15 - 30 )}) + \frac{x}{3} = \frac{( 7 x )}{12} - (\frac{( 2 x + 16 )}{32})

Simplify

\frac{3 x + 8}{16} - (\frac{12 x - 6}{15 - 30}) + \frac{x}{3} : \frac{3 x + 8}{16} + \frac{12 x - 6}{15} + \frac{x}{3}

\frac{3 x + 8}{16} + \frac{12 x - 6}{15} + \frac{x}{3} = \frac{7 x}{12} - \frac{2 x + 16}{32}

Multiply by LCM

30 (3 x + 8) + 192 (2 x - 1) + 160 x = 280 x - 30 (x + 8)

Expand

- 30 (x + 8) : - 30 x - 240

634 x + 48 = 280 x - 30 x - 240

Add similar elements:

280 x - 30 x = 250 x

634 x + 48 = 250 x - 240

Expand

30 (3 x + 8) + 192 (2 x - 1) + 160 x : 634 x + 48

634 x + 48 = 250 x - 240

Move

48

to the right side

634 x = 250 x - 288

Move

250 x

to the left side

384 x = - 288

Divide both sides by

384

x = - \frac{3}{4}

(\frac{31}{7} - \frac{13}{14}) \cdot x = \frac{12}{7}

x, p = 3 x + 3 x + 5 gx + 2

x, 9 y - 9 x = 27

p (- 1) = 0

3 (2 x - 3) + 2 (2 - x) = - 3

What is the answer to ((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32)) ?
The answer to ((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32)) is x=-3/4
Solve for x: ((3x+8))/(16)-(((12x-6))/((15-30)))+x/3 =((7x))/(12)-(((2x+16))/(32))
The solution is x=-3/4