2t-3=12+12(t+10.6)

Solution for 2t-3=12+12(t+10.6) equation:

Simplifying
2t + -3 = 12 + 12(t + 10.6)

Reorder the terms:
-3 + 2t = 12 + 12(t + 10.6)

Reorder the terms:
-3 + 2t = 12 + 12(10.6 + t)
-3 + 2t = 12 + (10.6 * 12 + t * 12)
-3 + 2t = 12 + (127.2 + 12t)

Combine like terms: 12 + 127.2 = 139.2
-3 + 2t = 139.2 + 12t

Solving
-3 + 2t = 139.2 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-3 + 2t + -12t = 139.2 + 12t + -12t

Combine like terms: 2t + -12t = -10t
-3 + -10t = 139.2 + 12t + -12t

Combine like terms: 12t + -12t = 0
-3 + -10t = 139.2 + 0
-3 + -10t = 139.2

Add '3' to each side of the equation.
-3 + 3 + -10t = 139.2 + 3

Combine like terms: -3 + 3 = 0
0 + -10t = 139.2 + 3
-10t = 139.2 + 3

Combine like terms: 139.2 + 3 = 142.2
-10t = 142.2

Divide each side by '-10'.
t = -14.22

Simplifying
t = -14.22