2(t+3)+9(2t-1)=19(t-1)-5

Solution for 2(t+3)+9(2t-1)=19(t-1)-5 equation:

Simplifying
2(t + 3) + 9(2t + -1) = 19(t + -1) + -5

Reorder the terms:
2(3 + t) + 9(2t + -1) = 19(t + -1) + -5
(3 * 2 + t * 2) + 9(2t + -1) = 19(t + -1) + -5
(6 + 2t) + 9(2t + -1) = 19(t + -1) + -5

Reorder the terms:
6 + 2t + 9(-1 + 2t) = 19(t + -1) + -5
6 + 2t + (-1 * 9 + 2t * 9) = 19(t + -1) + -5
6 + 2t + (-9 + 18t) = 19(t + -1) + -5

Reorder the terms:
6 + -9 + 2t + 18t = 19(t + -1) + -5

Combine like terms: 6 + -9 = -3
-3 + 2t + 18t = 19(t + -1) + -5

Combine like terms: 2t + 18t = 20t
-3 + 20t = 19(t + -1) + -5

Reorder the terms:
-3 + 20t = 19(-1 + t) + -5
-3 + 20t = (-1 * 19 + t * 19) + -5
-3 + 20t = (-19 + 19t) + -5

Reorder the terms:
-3 + 20t = -19 + -5 + 19t

Combine like terms: -19 + -5 = -24
-3 + 20t = -24 + 19t

Solving
-3 + 20t = -24 + 19t

Solving for variable 't'.

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

Add '-19t' to each side of the equation.
-3 + 20t + -19t = -24 + 19t + -19t

Combine like terms: 20t + -19t = 1t
-3 + 1t = -24 + 19t + -19t

Combine like terms: 19t + -19t = 0
-3 + 1t = -24 + 0
-3 + 1t = -24

Add '3' to each side of the equation.
-3 + 3 + 1t = -24 + 3

Combine like terms: -3 + 3 = 0
0 + 1t = -24 + 3
1t = -24 + 3

Combine like terms: -24 + 3 = -21
1t = -21

Divide each side by '1'.
t = -21

Simplifying
t = -21