2(2t-3)+1=12-t

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

Simplifying
2(2t + -3) + 1 = 12 + -1t

Reorder the terms:
2(-3 + 2t) + 1 = 12 + -1t
(-3 * 2 + 2t * 2) + 1 = 12 + -1t
(-6 + 4t) + 1 = 12 + -1t

Reorder the terms:
-6 + 1 + 4t = 12 + -1t

Combine like terms: -6 + 1 = -5
-5 + 4t = 12 + -1t

Solving
-5 + 4t = 12 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-5 + 4t + t = 12 + -1t + t

Combine like terms: 4t + t = 5t
-5 + 5t = 12 + -1t + t

Combine like terms: -1t + t = 0
-5 + 5t = 12 + 0
-5 + 5t = 12

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

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

Combine like terms: 12 + 5 = 17
5t = 17

Divide each side by '5'.
t = 3.4

Simplifying
t = 3.4