2t+6=t+13

Solution for 2t+6=t+13 equation:

Simplifying
2t + 6 = t + 13

Reorder the terms:
6 + 2t = t + 13

Reorder the terms:
6 + 2t = 13 + t

Solving
6 + 2t = 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.
6 + 2t + -1t = 13 + t + -1t

Combine like terms: 2t + -1t = 1t
6 + 1t = 13 + t + -1t

Combine like terms: t + -1t = 0
6 + 1t = 13 + 0
6 + 1t = 13

Add '-6' to each side of the equation.
6 + -6 + 1t = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1t = 13 + -6
1t = 13 + -6

Combine like terms: 13 + -6 = 7
1t = 7

Divide each side by '1'.
t = 7

Simplifying
t = 7