3t+6=55-4t

Solution for 3t+6=55-4t equation:

Simplifying
3t + 6 = 55 + -4t

Reorder the terms:
6 + 3t = 55 + -4t

Solving
6 + 3t = 55 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
6 + 3t + 4t = 55 + -4t + 4t

Combine like terms: 3t + 4t = 7t
6 + 7t = 55 + -4t + 4t

Combine like terms: -4t + 4t = 0
6 + 7t = 55 + 0
6 + 7t = 55

Add '-6' to each side of the equation.
6 + -6 + 7t = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7t = 55 + -6
7t = 55 + -6

Combine like terms: 55 + -6 = 49
7t = 49

Divide each side by '7'.
t = 7

Simplifying
t = 7