3t+1=t+13

Solution for 3t+1=t+13 equation:

Simplifying
3t + 1 = t + 13

Reorder the terms:
1 + 3t = t + 13

Reorder the terms:
1 + 3t = 13 + t

Solving
1 + 3t = 13 + t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.
1 + 3t + -1t = 13 + t + -1t

Combine like terms: 3t + -1t = 2t
1 + 2t = 13 + t + -1t

Combine like terms: t + -1t = 0
1 + 2t = 13 + 0
1 + 2t = 13

Add '-1' to each side of the equation.
1 + -1 + 2t = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 13 + -1
2t = 13 + -1

Combine like terms: 13 + -1 = 12
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6