3(4t-2)=6(3t-6)

Solution for 3(4t-2)=6(3t-6) equation:

Simplifying
3(4t + -2) = 6(3t + -6)

Reorder the terms:
3(-2 + 4t) = 6(3t + -6)
(-2 * 3 + 4t * 3) = 6(3t + -6)
(-6 + 12t) = 6(3t + -6)

Reorder the terms:
-6 + 12t = 6(-6 + 3t)
-6 + 12t = (-6 * 6 + 3t * 6)
-6 + 12t = (-36 + 18t)

Solving
-6 + 12t = -36 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
-6 + 12t + -18t = -36 + 18t + -18t

Combine like terms: 12t + -18t = -6t
-6 + -6t = -36 + 18t + -18t

Combine like terms: 18t + -18t = 0
-6 + -6t = -36 + 0
-6 + -6t = -36

Add '6' to each side of the equation.
-6 + 6 + -6t = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -6t = -36 + 6
-6t = -36 + 6

Combine like terms: -36 + 6 = -30
-6t = -30

Divide each side by '-6'.
t = 5

Simplifying
t = 5