3(t+2)+t-9=6t+2

Solution for 3(t+2)+t-9=6t+2 equation:

Simplifying
3(t + 2) + t + -9 = 6t + 2

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

Reorder the terms:
6 + -9 + 3t + t = 6t + 2

Combine like terms: 6 + -9 = -3
-3 + 3t + t = 6t + 2

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

Reorder the terms:
-3 + 4t = 2 + 6t

Solving
-3 + 4t = 2 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-3 + 4t + -6t = 2 + 6t + -6t

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

Combine like terms: 6t + -6t = 0
-3 + -2t = 2 + 0
-3 + -2t = 2

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

Combine like terms: -3 + 3 = 0
0 + -2t = 2 + 3
-2t = 2 + 3

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

Divide each side by '-2'.
t = -2.5

Simplifying
t = -2.5