2t+6=21-t

Solution for 2t+6=21-t equation:

Simplifying
2t + 6 = 21 + -1t

Reorder the terms:
6 + 2t = 21 + -1t

Solving
6 + 2t = 21 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
6 + 2t + t = 21 + -1t + t

Combine like terms: 2t + t = 3t
6 + 3t = 21 + -1t + t

Combine like terms: -1t + t = 0
6 + 3t = 21 + 0
6 + 3t = 21

Add '-6' to each side of the equation.
6 + -6 + 3t = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = 21 + -6
3t = 21 + -6

Combine like terms: 21 + -6 = 15
3t = 15

Divide each side by '3'.
t = 5

Simplifying
t = 5