Solve 5 (3t - 2)/4 - (2t + 3)/3 = 2/3 - t

Evaluate

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

Multiply the terms

\frac{5 ( 3 t - 2 )}{4} - \frac{2 t + 3}{3} = \frac{2}{3} - t

Multiply both sides of the equation by LCD

(\frac{5 ( 3 t - 2 )}{4} - \frac{2 t + 3}{3}) \times 12 = (\frac{2}{3} - t) \times 12

Simplify the equation

More Steps

37 t - 42 = (\frac{2}{3} - t) \times 12

Simplify the equation

More Steps

37 t - 42 = 8 - 12 t

Move the expression to the left side

37 t - 42 + 12 t = 8

Move the expression to the right side

37 t + 12 t = 8 + 42

Add and subtract

More Steps

49 t = 8 + 42

Add and subtract

49 t = 50

Divide both sides

\frac{49 t}{49} = \frac{50}{49}

Solution

t = \frac{50}{49}

Alternative Form

t \approx 1.020408

Solve the equation