2t-9=3(t+6)

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

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

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

Reorder the terms:
-9 + 2t = 3(6 + t)
-9 + 2t = (6 * 3 + t * 3)
-9 + 2t = (18 + 3t)

Solving
-9 + 2t = 18 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-9 + 2t + -3t = 18 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-9 + -1t = 18 + 3t + -3t

Combine like terms: 3t + -3t = 0
-9 + -1t = 18 + 0
-9 + -1t = 18

Add '9' to each side of the equation.
-9 + 9 + -1t = 18 + 9

Combine like terms: -9 + 9 = 0
0 + -1t = 18 + 9
-1t = 18 + 9

Combine like terms: 18 + 9 = 27
-1t = 27

Divide each side by '-1'.
t = -27

Simplifying
t = -27