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

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

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

Reorder the terms:
2 + 1 + -2t = 3(t + -3) + -2t

Combine like terms: 2 + 1 = 3
3 + -2t = 3(t + -3) + -2t

Reorder the terms:
3 + -2t = 3(-3 + t) + -2t
3 + -2t = (-3 * 3 + t * 3) + -2t
3 + -2t = (-9 + 3t) + -2t

Combine like terms: 3t + -2t = 1t
3 + -2t = -9 + 1t

Solving
3 + -2t = -9 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
3 + -2t + -1t = -9 + 1t + -1t

Combine like terms: -2t + -1t = -3t
3 + -3t = -9 + 1t + -1t

Combine like terms: 1t + -1t = 0
3 + -3t = -9 + 0
3 + -3t = -9

Add '-3' to each side of the equation.
3 + -3 + -3t = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -3t = -9 + -3
-3t = -9 + -3

Combine like terms: -9 + -3 = -12
-3t = -12

Divide each side by '-3'.
t = 4

Simplifying
t = 4