2t-4+6(t+2)=0

Solution for 2t-4+6(t+2)=0 equation:

Simplifying
2t + -4 + 6(t + 2) = 0

Reorder the terms:
2t + -4 + 6(2 + t) = 0
2t + -4 + (2 * 6 + t * 6) = 0
2t + -4 + (12 + 6t) = 0

Reorder the terms:
-4 + 12 + 2t + 6t = 0

Combine like terms: -4 + 12 = 8
8 + 2t + 6t = 0

Combine like terms: 2t + 6t = 8t
8 + 8t = 0

Solving
8 + 8t = 0

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + 8t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 8t = 0 + -8
8t = 0 + -8

Combine like terms: 0 + -8 = -8
8t = -8

Divide each side by '8'.
t = -1

Simplifying
t = -1