12t-(4t-6)=3t-(9t-27)

Solution for 12t-(4t-6)=3t-(9t-27) equation:

Simplifying
12t + -1(4t + -6) = 3t + -1(9t + -27)

Reorder the terms:
12t + -1(-6 + 4t) = 3t + -1(9t + -27)
12t + (-6 * -1 + 4t * -1) = 3t + -1(9t + -27)
12t + (6 + -4t) = 3t + -1(9t + -27)

Reorder the terms:
6 + 12t + -4t = 3t + -1(9t + -27)

Combine like terms: 12t + -4t = 8t
6 + 8t = 3t + -1(9t + -27)

Reorder the terms:
6 + 8t = 3t + -1(-27 + 9t)
6 + 8t = 3t + (-27 * -1 + 9t * -1)
6 + 8t = 3t + (27 + -9t)

Reorder the terms:
6 + 8t = 27 + 3t + -9t

Combine like terms: 3t + -9t = -6t
6 + 8t = 27 + -6t

Solving
6 + 8t = 27 + -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.
6 + 8t + 6t = 27 + -6t + 6t

Combine like terms: 8t + 6t = 14t
6 + 14t = 27 + -6t + 6t

Combine like terms: -6t + 6t = 0
6 + 14t = 27 + 0
6 + 14t = 27

Add '-6' to each side of the equation.
6 + -6 + 14t = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 14t = 27 + -6
14t = 27 + -6

Combine like terms: 27 + -6 = 21
14t = 21

Divide each side by '14'.
t = 1.5

Simplifying
t = 1.5