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The sum of one half and twice a number is equal to five sixths subtracted from three times the number. Find the number.

Solution

The sum of one half and twice a number is equal to five sixths subtracted from three times the number. Find the number.

Solution

The number : 1 \frac{1}{3}

Solution steps

Represent the number with

x

A.T.Q.:

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

Solve for

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

Convert improper fractions to mixed numbers:

\frac{4}{3} = 1 \frac{1}{3}

The number : 1 \frac{1}{3}

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