3t+2(t+1)+3(t-1)=15

Solution for 3t+2(t+1)+3(t-1)=15 equation:

Simplifying
3t + 2(t + 1) + 3(t + -1) = 15

Reorder the terms:
3t + 2(1 + t) + 3(t + -1) = 15
3t + (1 * 2 + t * 2) + 3(t + -1) = 15
3t + (2 + 2t) + 3(t + -1) = 15

Reorder the terms:
3t + 2 + 2t + 3(-1 + t) = 15
3t + 2 + 2t + (-1 * 3 + t * 3) = 15
3t + 2 + 2t + (-3 + 3t) = 15

Reorder the terms:
2 + -3 + 3t + 2t + 3t = 15

Combine like terms: 2 + -3 = -1
-1 + 3t + 2t + 3t = 15

Combine like terms: 3t + 2t = 5t
-1 + 5t + 3t = 15

Combine like terms: 5t + 3t = 8t
-1 + 8t = 15

Solving
-1 + 8t = 15

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 = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 8t = 15 + 1
8t = 15 + 1

Combine like terms: 15 + 1 = 16
8t = 16

Divide each side by '8'.
t = 2

Simplifying
t = 2