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

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

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

Reorder the terms:
3 + -3t = 2(6 + 3t)
3 + -3t = (6 * 2 + 3t * 2)
3 + -3t = (12 + 6t)

Solving
3 + -3t = 12 + 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 + -3t + -6t = 12 + 6t + -6t

Combine like terms: -3t + -6t = -9t
3 + -9t = 12 + 6t + -6t

Combine like terms: 6t + -6t = 0
3 + -9t = 12 + 0
3 + -9t = 12

Add '-3' to each side of the equation.
3 + -3 + -9t = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -9t = 12 + -3
-9t = 12 + -3

Combine like terms: 12 + -3 = 9
-9t = 9

Divide each side by '-9'.
t = -1

Simplifying
t = -1