What is the answer to 5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9 ?

The answer to 5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9 is x=5

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5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9

\frac{5}{6} [x - \frac{1}{3}] + \frac{7}{6} [\frac{x}{5} - \frac{1}{7}] = 4 \frac{8}{9}

x = 5

Solution steps

\frac{5}{6} [x - \frac{1}{3}] + \frac{7}{6} [\frac{x}{5} - \frac{1}{7}] = 4 \frac{8}{9}

Convert mixed numbers to improper fractions:

4 \frac{8}{9} = \frac{44}{9}

\frac{5}{6} [x - \frac{1}{3}] + \frac{7}{6} [\frac{x}{5} - \frac{1}{7}] = \frac{44}{9}

Expand

\frac{5}{6} (x - \frac{1}{3}) + \frac{7}{6} (\frac{x}{5} - \frac{1}{7}) : \frac{16 x}{15} - \frac{4}{9}

\frac{16 x}{15} - \frac{4}{9} = \frac{44}{9}

Multiply both sides by

15

16 x - \frac{20}{3} = \frac{220}{3}

Move

\frac{20}{3}

to the right side

16 x = 80

Divide both sides by

16

x = 5

r + 15 = 4 r - 6

4 x + 2 x + 3 = 27

y, 3 x + 2 y = 5

- 10 = 6 x + 8

x, 4 x - 8 y = 2

What is the answer to 5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9 ?
The answer to 5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9 is x=5
Solve for x: 5/6 [x-1/3 ]+7/6 [ x/5-1/7 ]=4 8/9
The solution is x=5