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

Evaluate

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

Simplify

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

Multiply both sides of the equation by LCM

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

Calculate

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

Calculate

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6 t + 3 = 4 - 6 t

Move the expression to the left side

6 t + 3 + 6 t = 4

Move the expression to the right side

6 t + 6 t = 4 - 3

Add and subtract

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12 t = 4 - 3

Add and subtract

12 t = 1

Divide both sides

\frac{12 t}{12} = \frac{1}{12}

Solution

t = \frac{1}{12}

Alternative Form

t = 0.08 \dot{3}

Solve the equation