Solve 2t-5 /5 2= t-2 /3 2

Evaluate

2 t - \frac{5}{5} \times 2 = t - \frac{2}{3} \times 2

Simplify

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2 t - 2 = t - \frac{2}{3} \times 2

Multiply the numbers

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

Multiply both sides of the equation by LCM

(2 t - 2) \times 3 = (t - \frac{4}{3}) \times 3

Calculate

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6 t - 6 = (t - \frac{4}{3}) \times 3

Calculate

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6 t - 6 = 3 t - 4

Move the expression to the left side

6 t - 6 - 3 t = - 4

Move the expression to the right side

6 t - 3 t = - 4 + 6

Add and subtract

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3 t = - 4 + 6

Add and subtract

3 t = 2

Divide both sides

\frac{3 t}{3} = \frac{2}{3}

Solution

t = \frac{2}{3}

Alternative Form

t = 0. \dot{6}

Solve the equation