3(2t-1)+2(t+1)=23

Solution for 3(2t-1)+2(t+1)=23 equation:

Simplifying
3(2t + -1) + 2(t + 1) = 23

Reorder the terms:
3(-1 + 2t) + 2(t + 1) = 23
(-1 * 3 + 2t * 3) + 2(t + 1) = 23
(-3 + 6t) + 2(t + 1) = 23

Reorder the terms:
-3 + 6t + 2(1 + t) = 23
-3 + 6t + (1 * 2 + t * 2) = 23
-3 + 6t + (2 + 2t) = 23

Reorder the terms:
-3 + 2 + 6t + 2t = 23

Combine like terms: -3 + 2 = -1
-1 + 6t + 2t = 23

Combine like terms: 6t + 2t = 8t
-1 + 8t = 23

Solving
-1 + 8t = 23

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + 8t = 23 + 1

Combine like terms: -1 + 1 = 0
0 + 8t = 23 + 1
8t = 23 + 1

Combine like terms: 23 + 1 = 24
8t = 24

Divide each side by '8'.
t = 3

Simplifying
t = 3