2(t+12)-6(2t-3)=

Solution for 2(t+12)-6(2t-3)= equation:

Simplifying
2(t + 12) + -6(2t + -3) = 0

Reorder the terms:
2(12 + t) + -6(2t + -3) = 0
(12 * 2 + t * 2) + -6(2t + -3) = 0
(24 + 2t) + -6(2t + -3) = 0

Reorder the terms:
24 + 2t + -6(-3 + 2t) = 0
24 + 2t + (-3 * -6 + 2t * -6) = 0
24 + 2t + (18 + -12t) = 0

Reorder the terms:
24 + 18 + 2t + -12t = 0

Combine like terms: 24 + 18 = 42
42 + 2t + -12t = 0

Combine like terms: 2t + -12t = -10t
42 + -10t = 0

Solving
42 + -10t = 0

Solving for variable 't'.

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

Add '-42' to each side of the equation.
42 + -42 + -10t = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -10t = 0 + -42
-10t = 0 + -42

Combine like terms: 0 + -42 = -42
-10t = -42

Divide each side by '-10'.
t = 4.2

Simplifying
t = 4.2