What is the answer to 1/3 (2x+8)+(4x-8)/6 =-x+7/2 ?

The answer to 1/3 (2x+8)+(4x-8)/6 =-x+7/2 is x= 13/14

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1/3 (2x+8)+(4x-8)/6 =-x+7/2

\frac{1}{3} (2 x + 8) + \frac{4 x - 8}{6} = - x + \frac{7}{2}

x = \frac{13}{14}

Decimal Notation

x = 0.92857 \dots

Solution steps

\frac{1}{3} (2 x + 8) + \frac{4 x - 8}{6} = - x + \frac{7}{2}

Multiply by LCM

2 (2 x + 8) + 4 x - 8 = - 6 x + 21

Expand

2 (2 x + 8) + 4 x - 8 : 8 x + 8

8 x + 8 = - 6 x + 21

Move

8

to the right side

8 x = - 6 x + 13

Move

6 x

to the left side

14 x = 13

Divide both sides by

14

x = \frac{13}{14}

\frac{5 ^{2} 5 ^{3}}{5 ^{3} 5 ^{2}}

e^{- \frac{( - 1 )}{\frac{100}{10}}}

\frac{x ( x + 2 )}{5} + 1 = x + \frac{6}{10}

3 x^{4} - 5 x^{2} + 2

\frac{x}{6} + 19 = 3

What is the answer to 1/3 (2x+8)+(4x-8)/6 =-x+7/2 ?
The answer to 1/3 (2x+8)+(4x-8)/6 =-x+7/2 is x= 13/14
Solve for x: 1/3 (2x+8)+(4x-8)/6 =-x+7/2
The solution is x= 13/14