Solve 3x-2/4-2x+3/3=2/3-x

Evaluate

3 x - \frac{2}{4} - 2 x + \frac{3}{3} = \frac{2}{3} - x

Simplify

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

Multiply both sides of the equation by LCM

(x + \frac{1}{2}) \times 6 = (\frac{2}{3} - x) \times 6

Calculate

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6 x + 3 = (\frac{2}{3} - x) \times 6

Calculate

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6 x + 3 = 4 - 6 x

Move the expression to the left side

6 x + 3 + 6 x = 4

Move the expression to the right side

6 x + 6 x = 4 - 3

Add and subtract

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12 x = 4 - 3

Add and subtract

12 x = 1

Divide both sides

\frac{12 x}{12} = \frac{1}{12}

Solution

x = \frac{1}{12}

Alternative Form

x = 0.08 \dot{3}

Solve the equation