What is the answer to (3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3 ?

The answer to (3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3 is x=6

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(3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3

\frac{3 x + 4}{11} + \frac{5 x - 8}{22} = \frac{5 x + 6}{6} - 3

x = 6

Solution steps

\frac{3 x + 4}{11} + \frac{5 x - 8}{22} = \frac{5 x + 6}{6} - 3

Multiply by LCM

6 (3 x + 4) + 3 (5 x - 8) = 11 (5 x + 6) - 198

Expand

6 (3 x + 4) + 3 (5 x - 8) : 33 x

Expand

11 (5 x + 6) - 198 : 55 x - 132

33 x = 55 x - 132

Move

55 x

to the left side

- 22 x = - 132

Divide both sides by

- 22

x = 6

y = - 3^{- 1}

7 = x - 3

2 x + 7 = 29 - x

- 2 + x = - 4 + 6

- \frac{5}{6} = - \frac{9}{11} z + \frac{1}{2}

What is the answer to (3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3 ?
The answer to (3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3 is x=6
Solve for x: (3x+4}{11}+(5x-8)/(22)=\frac{5x+6)/6-3
The solution is x=6