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

The answer to 6 4/5 = 5/6 x-3 1/2 is x=12 9/25

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6 4/5 = 5/6 x-3 1/2

6 \frac{4}{5} = \frac{5}{6} x - 3 \frac{1}{2}

x = 12 \frac{9}{25}

Decimal Notation

x = 12.36

Solution steps

6 \frac{4}{5} = \frac{5}{6} x - 3 \frac{1}{2}

Convert mixed numbers to improper fractions:

6 \frac{4}{5} = \frac{34}{5}

\frac{34}{5} = \frac{5}{6} x - 3 \frac{1}{2}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

\frac{34}{5} = \frac{5}{6} x - \frac{7}{2}

Switch sides

\frac{5}{6} x - \frac{7}{2} = \frac{34}{5}

Move

\frac{7}{2}

to the right side

\frac{5}{6} x = \frac{103}{10}

Multiply both sides by

6

5 x = \frac{309}{5}

Divide both sides by

5

x = \frac{309}{25}

Convert improper fractions to mixed numbers:

\frac{309}{25} = 12 \frac{9}{25}

x = 12 \frac{9}{25}

(x - 6) - (4.5 - x) = - 1.5

5 x + 1 = 6

2 x + 3 = \frac{1}{2} (4 x + 2) + 2

a, x = v t + \frac{1}{2} a t^{2}

w = 2 \frac{π}{0.3}

What is the answer to 6 4/5 = 5/6 x-3 1/2 ?
The answer to 6 4/5 = 5/6 x-3 1/2 is x=12 9/25
Solve for x: 6 4/5 = 5/6 x-3 1/2
The solution is x=12 9/25