3t+5=6t-6

Solution for 3t+5=6t-6 equation:

Simplifying
3t + 5 = 6t + -6

Reorder the terms:
5 + 3t = 6t + -6

Reorder the terms:
5 + 3t = -6 + 6t

Solving
5 + 3t = -6 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
5 + 3t + -6t = -6 + 6t + -6t

Combine like terms: 3t + -6t = -3t
5 + -3t = -6 + 6t + -6t

Combine like terms: 6t + -6t = 0
5 + -3t = -6 + 0
5 + -3t = -6

Add '-5' to each side of the equation.
5 + -5 + -3t = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -3t = -6 + -5
-3t = -6 + -5

Combine like terms: -6 + -5 = -11
-3t = -11

Divide each side by '-3'.
t = 3.666666667

Simplifying
t = 3.666666667