2(t+4)-20=-3(t-6)

Solution for 2(t+4)-20=-3(t-6) equation:

Simplifying
2(t + 4) + -20 = -3(t + -6)

Reorder the terms:
2(4 + t) + -20 = -3(t + -6)
(4 * 2 + t * 2) + -20 = -3(t + -6)
(8 + 2t) + -20 = -3(t + -6)

Reorder the terms:
8 + -20 + 2t = -3(t + -6)

Combine like terms: 8 + -20 = -12
-12 + 2t = -3(t + -6)

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

Solving
-12 + 2t = 18 + -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.
-12 + 2t + 3t = 18 + -3t + 3t

Combine like terms: 2t + 3t = 5t
-12 + 5t = 18 + -3t + 3t

Combine like terms: -3t + 3t = 0
-12 + 5t = 18 + 0
-12 + 5t = 18

Add '12' to each side of the equation.
-12 + 12 + 5t = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 5t = 18 + 12
5t = 18 + 12

Combine like terms: 18 + 12 = 30
5t = 30

Divide each side by '5'.
t = 6

Simplifying
t = 6