What is the answer to 6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1) ?

The answer to 6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1) is x=-8/405

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6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1)

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

x = - \frac{8}{405}

Decimal Notation

x = - 0.01975 \dots

Solution steps

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

Simplify

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) : - 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2)

- 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

Expand

- 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2) : - \frac{25 x}{4} + \frac{1}{9} + \frac{1}{2}

Expand

\frac{5}{6} (6 x + 1) : 5 x + \frac{5}{6}

- \frac{25 x}{4} + \frac{1}{9} + \frac{1}{2} = 5 x + \frac{5}{6}

Move

\frac{1}{9}

to the right side

- \frac{25 x}{4} + \frac{1}{2} = 5 x + \frac{13}{18}

Move

\frac{1}{2}

to the right side

- \frac{25 x}{4} = 5 x + \frac{2}{9}

Multiply both sides by

4

- 25 x = 20 x + \frac{8}{9}

Move

20 x

to the left side

- 45 x = \frac{8}{9}

Divide both sides by

- 45

x = - \frac{8}{405}

m - m \cdot (\frac{- 1}{2}) = \frac{3 - m - 2}{3}

a, 8 a - 5 b = 1

- \frac{22}{15} x + \frac{1}{3} = - \frac{2}{3} + \frac{1}{5}

x, 9 x + 3 + \frac{y}{3} - 3 y = 9

x, 4 x - y = - \frac{1}{2}

What is the answer to 6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1) ?
The answer to 6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1) is x=-8/405
Solve for x: 6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1)
The solution is x=-8/405