4t - 8 + 12 = 3 - 4t- 11
You want to collect all of the "t" terms on one side of the equation and all of the other terms on the other side until you end up with t = something. This process is called "Solving for t".
Add the constant terms on each side of the equation: -8+12=4, 3-11=-8
4t + 4 = -4t - 8
Subtract 4 from both sides:
4t + 4 - 4 = -4t - 8 - 4
4t = -4t - 12 (4-4=0, -8-4=-12)
Add 4t to both sides:
4t + 4t = -4t + 4t - 12
8t = -12 (4t+4t=8t, -4t+4t=0)
Divide both sides by 8
t = -12/8 = -3/2
Check:
4t - 8 + 12 = 3 - 4t- 11
4(-3/2) - 8 + 12 = 3 - 4(-3/2) - 11
-6 - 8 + 12 = 3 + 6 - 11
-2 = -2 Check!
