Question

5+4(t-2)=(t+7)+1

Answer 1

5 + 4t - 8 = t + 7 + 1 combine like terms

4t - 3 = t+8 move constants to left by adding 3 to both sides

4t - 3 + 3 = t + 8 + 3

4t = t + 11 subtract t both sides

3 t = 11

t = 11/3


place it back in and do a check

15/3 + 44/3 - 24/3 = 35/3

and on the right

11/3 + 21/3 + 3/3 = 35/3

35/3 = 35/3 so our answer checks out ok