What is the answer to 7 2/5 = 2/3 x-4 1/2 ?

The answer to 7 2/5 = 2/3 x-4 1/2 is x=17 17/20

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7 2/5 = 2/3 x-4 1/2

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

x = 17 \frac{17}{20}

Solution steps

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

Convert mixed numbers to improper fractions:

7 \frac{2}{5} = \frac{37}{5}

\frac{37}{5} = \frac{2}{3} x - 4 \frac{1}{2}

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

\frac{37}{5} = \frac{2}{3} x - \frac{9}{2}

Switch sides

\frac{2}{3} x - \frac{9}{2} = \frac{37}{5}

Move

\frac{9}{2}

to the right side

\frac{2}{3} x = \frac{119}{10}

Multiply both sides by

3

2 x = \frac{357}{10}

Divide both sides by

2

x = \frac{357}{20}

Convert improper fractions to mixed numbers:

\frac{357}{20} = 17 \frac{17}{20}

x = 17 \frac{17}{20}

x, y = - \frac{1}{2} x

3.6 g = 21.6

13 x = 32 + 5 x

5 x + 3 (x + 4) = 28

\frac{x}{8} - 5 = 1, x

What is the answer to 7 2/5 = 2/3 x-4 1/2 ?
The answer to 7 2/5 = 2/3 x-4 1/2 is x=17 17/20
Solve for x: 7 2/5 = 2/3 x-4 1/2
The solution is x=17 17/20