3(t+1)=t+13

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

Simplifying
3(t + 1) = t + 13

Reorder the terms:
3(1 + t) = t + 13
(1 * 3 + t * 3) = t + 13
(3 + 3t) = t + 13

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

Solving
3 + 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.
3 + 3t + -1t = 13 + t + -1t

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

Combine like terms: t + -1t = 0
3 + 2t = 13 + 0
3 + 2t = 13

Add '-3' to each side of the equation.
3 + -3 + 2t = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 2t = 13 + -3
2t = 13 + -3

Combine like terms: 13 + -3 = 10
2t = 10

Divide each side by '2'.
t = 5

Simplifying
t = 5