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

The answer to -3 2/3 x=-2 1/5 is x= 3/5

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

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

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

- \frac{11}{3} x = - 2 \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{1}{5} = \frac{11}{5}

- \frac{11}{3} x = - \frac{11}{5}

Multiply both sides by

3

- 11 x = - \frac{33}{5}

Divide both sides by

- 11

x = \frac{3}{5}

3 x + 4 - 3 x = 4

x - 14.8 = - 16.5

x + 2 = x - 1

15 x + 27 x = 714

\frac{2}{3} x = 30