To find the value of t in the equation t + 5 = 3t + 1, we first need to rearrange the equation to isolate t on one side.
Step 1: Start by subtracting t from both sides of the equation:
t + 5 - t = 3t + 1 - t
This simplifies to:
5 = 2t + 1
Step 2: Next, subtract 1 from both sides:
5 - 1 = 2t + 1 - 1
This gives us:
4 = 2t
Step 3: Now, divide both sides by 2 to solve for t:
4 / 2 = 2t / 2
This results in:
2 = t
Therefore, the value of t is 2.