8+12t-2=9t+78-6t

Solution for 8+12t-2=9t+78-6t equation:

Simplifying
8 + 12t + -2 = 9t + 78 + -6t

Reorder the terms:
8 + -2 + 12t = 9t + 78 + -6t

Combine like terms: 8 + -2 = 6
6 + 12t = 9t + 78 + -6t

Reorder the terms:
6 + 12t = 78 + 9t + -6t

Combine like terms: 9t + -6t = 3t
6 + 12t = 78 + 3t

Solving
6 + 12t = 78 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
6 + 12t + -3t = 78 + 3t + -3t

Combine like terms: 12t + -3t = 9t
6 + 9t = 78 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + 9t = 78 + 0
6 + 9t = 78

Add '-6' to each side of the equation.
6 + -6 + 9t = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 9t = 78 + -6
9t = 78 + -6

Combine like terms: 78 + -6 = 72
9t = 72

Divide each side by '9'.
t = 8

Simplifying
t = 8