What is the answer to 10-(3x+5)/6 =3 11/12-(x/2)/4 ?

The answer to 10-(3x+5)/6 =3 11/12-(x/2)/4 is x=14

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10-(3x+5)/6 =3 11/12-(x/2)/4

10 - \frac{3 x + 5}{6} = 3 \frac{11}{12} - \frac{\frac{x}{2}}{4}

x = 14

Solution steps

10 - \frac{3 x + 5}{6} = 3 \frac{11}{12} - \frac{\frac{x}{2}}{4}

Convert mixed numbers to improper fractions:

3 \frac{11}{12} = \frac{47}{12}

10 - \frac{3 x + 5}{6} = \frac{47}{12} - \frac{\frac{x}{2}}{4}

\frac{\frac{x}{2}}{4} = \frac{x}{8}

10 - \frac{3 x + 5}{6} = \frac{47}{12} - \frac{x}{8}

Move

\frac{x}{8}

to the left side

\frac{- 9 x - 20}{24} + 10 = \frac{47}{12}

Move

10

to the right side

\frac{- 9 x - 20}{24} = - \frac{73}{12}

Multiply both sides by

24

- 9 x - 20 = - 146

Move

20

to the right side

- 9 x = - 126

Divide both sides by

- 9

x = 14

x, 6 x + 2 y = 6

4 x - 7 x + 5 = 2 - 4 (3 x + 1)

x, 3 y = 2 x - 6

0.6 x - 5 = 0.1 x + 7

4 (x - 1) = 3 (x + 2)

What is the answer to 10-(3x+5)/6 =3 11/12-(x/2)/4 ?
The answer to 10-(3x+5)/6 =3 11/12-(x/2)/4 is x=14
Solve for x: 10-(3x+5)/6 =3 11/12-(x/2)/4
The solution is x=14