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

The answer to 4/5*(((x+5))/6)-2/3*(x-1/4)= 11/6 is x=-15/8

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

Solution

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

Solution

x = - \frac{15}{8}

Decimal Notation

x = - 1.875

Solution steps

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

Remove parentheses:

(a) = a

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

\frac{4}{5} \cdot \frac{x + 5}{6} = \frac{2 ( x + 5 )}{15}

\frac{2 ( x + 5 )}{15} - \frac{2}{3} (x - \frac{1}{4}) = \frac{11}{6}

Multiply by LCM

4 (x + 5) - 20 (x - \frac{1}{4}) = 55

Expand

4 (x + 5) - 20 (x - \frac{1}{4}) : - 16 x + 25

- 16 x + 25 = 55

Move

25

to the right side

- 16 x = 30

Divide both sides by

- 16

x = - \frac{15}{8}

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Frequently Asked Questions (FAQ)

What is the answer to 4/5*(((x+5))/6)-2/3*(x-1/4)= 11/6 ?
The answer to 4/5*(((x+5))/6)-2/3*(x-1/4)= 11/6 is x=-15/8
Solve for x: 4/5*(((x+5))/6)-2/3*(x-1/4)= 11/6
The solution is x=-15/8

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

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

Solve for x: 4/5(((x+5))/6)-2/3(x-1/4)= 11/6

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

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

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

Solve for x: 4/5*(((x+5))/6)-2/3*(x-1/4)= 11/6

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

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

Solve for x: 4/5(((x+5))/6)-2/3(x-1/4)= 11/6