2(t-1)+3(t+2)+6t=15

Solution for 2(t-1)+3(t+2)+6t=15 equation:

Simplifying
2(t + -1) + 3(t + 2) + 6t = 15

Reorder the terms:
2(-1 + t) + 3(t + 2) + 6t = 15
(-1 * 2 + t * 2) + 3(t + 2) + 6t = 15
(-2 + 2t) + 3(t + 2) + 6t = 15

Reorder the terms:
-2 + 2t + 3(2 + t) + 6t = 15
-2 + 2t + (2 * 3 + t * 3) + 6t = 15
-2 + 2t + (6 + 3t) + 6t = 15

Reorder the terms:
-2 + 6 + 2t + 3t + 6t = 15

Combine like terms: -2 + 6 = 4
4 + 2t + 3t + 6t = 15

Combine like terms: 2t + 3t = 5t
4 + 5t + 6t = 15

Combine like terms: 5t + 6t = 11t
4 + 11t = 15

Solving
4 + 11t = 15

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + 11t = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 11t = 15 + -4
11t = 15 + -4

Combine like terms: 15 + -4 = 11
11t = 11

Divide each side by '11'.
t = 1

Simplifying
t = 1