Solve x - 1/5 x - 2/3 = 2 - x-2/15

Evaluate

x - \frac{1}{5} x - \frac{2}{3} = 2 - x - \frac{2}{15}

Subtract the terms

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\frac{4}{5} x - \frac{2}{3} = 2 - x - \frac{2}{15}

Subtract the numbers

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\frac{4}{5} x - \frac{2}{3} = \frac{28}{15} - x

Multiply both sides of the equation by LCM

(\frac{4}{5} x - \frac{2}{3}) \times 15 = (\frac{28}{15} - x) \times 15

Calculate

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12 x - 10 = (\frac{28}{15} - x) \times 15

Calculate

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12 x - 10 = 28 - 15 x

Move the expression to the left side

12 x - 10 + 15 x = 28

Move the expression to the right side

12 x + 15 x = 28 + 10

Add and subtract

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27 x = 28 + 10

Add and subtract

27 x = 38

Divide both sides

\frac{27 x}{27} = \frac{38}{27}

Solution

x = \frac{38}{27}

Alternative Form

x = 1. \dot{4} 0 \dot{7}

Solve the equation