What is the answer to ((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2 ?

The answer to ((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2 is x=-46

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((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2

\frac{( 2 x + 7 )}{3} - \frac{( 3 x - 6 )}{4} + \frac{( 4 x + 9 )}{6} = \frac{( x + 3 )}{2}

x = - 46

Solution steps

\frac{( 2 x + 7 )}{3} - \frac{( 3 x - 6 )}{4} + \frac{( 4 x + 9 )}{6} = \frac{( x + 3 )}{2}

\frac{2 x + 7}{3} - \frac{3 x - 6}{4} + \frac{4 x + 9}{6} = \frac{( x + 3 )}{2}

Multiply by LCM

4 (2 x + 7) - 3 (3 x - 6) + 2 (4 x + 9) = 6 (x + 3)

Expand

4 (2 x + 7) - 3 (3 x - 6) + 2 (4 x + 9) : 7 x + 64

Expand

6 (x + 3) : 6 x + 18

7 x + 64 = 6 x + 18

Move

64

to the right side

7 x = 6 x - 46

Move

6 x

to the left side

x = - 46

- 16 t^{2} + 1354 = 0

\frac{4}{52} \cdot \frac{4}{52}

6 x^{2} - 384

- \frac{\frac{2}{3}}{( - \frac{8}{7} )}

\frac{12 !}{( 12 - 2 ) !} + \frac{13 !}{( 13 - 4 ) !}

What is the answer to ((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2 ?
The answer to ((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2 is x=-46
Solve for x: ((2x+7))/3-((3x-6))/4+((4x+9))/6 =((x+3))/2
The solution is x=-46