Answer:
t = 7
Explanation:
5(2t - 3) – 7.5t = 0.5(12 – t)
5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5
10t - 15 - 7.5t = 6 - 0.5t {Now, combine like terms}
10t - 7.5t - 15 = 6 - 0.5t
2.5t -15 = 6 - 0.5t {Add 15 to both sides}
2.5t = 6 - 0.5t + 15
2.5t = 21 - 0.5t { Add 0.5t to both sides}
2.5t + 0.5t = 21
3t = 21 {Divide both sides by 3}
t = 21/3
t = 7