6+8(2t+1)=3+12t

Solution for 6+8(2t+1)=3+12t equation:

Simplifying
6 + 8(2t + 1) = 3 + 12t

Reorder the terms:
6 + 8(1 + 2t) = 3 + 12t
6 + (1 * 8 + 2t * 8) = 3 + 12t
6 + (8 + 16t) = 3 + 12t

Combine like terms: 6 + 8 = 14
14 + 16t = 3 + 12t

Solving
14 + 16t = 3 + 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.
14 + 16t + -12t = 3 + 12t + -12t

Combine like terms: 16t + -12t = 4t
14 + 4t = 3 + 12t + -12t

Combine like terms: 12t + -12t = 0
14 + 4t = 3 + 0
14 + 4t = 3

Add '-14' to each side of the equation.
14 + -14 + 4t = 3 + -14

Combine like terms: 14 + -14 = 0
0 + 4t = 3 + -14
4t = 3 + -14

Combine like terms: 3 + -14 = -11
4t = -11

Divide each side by '4'.
t = -2.75

Simplifying
t = -2.75