+4622 Find all values of t such that \(6t - \frac23 + \frac{t}{5} = 4 + \frac{2-t}{3}\) .
+129899
6t - (2/3) + (1/5)t = 4 + (2 - t) / 3 and we can write
6t - (2/3) + (1/5)t = 4 + 2/3 - (1/3)t multiply through by 15 to clear the fractions
90t - 10 + 3t = 60 + 10 - 5t simplify
93t - 10 = 70 - 5t add 10, 5t to both sides
98t = 80 divide both sides by 92
t = 80 / 98 = 40/ 49
