3(2t+4)-6=12+2(2t-1)

Solution for 3(2t+4)-6=12+2(2t-1) equation:

Simplifying
3(2t + 4) + -6 = 12 + 2(2t + -1)

Reorder the terms:
3(4 + 2t) + -6 = 12 + 2(2t + -1)
(4 * 3 + 2t * 3) + -6 = 12 + 2(2t + -1)
(12 + 6t) + -6 = 12 + 2(2t + -1)

Reorder the terms:
12 + -6 + 6t = 12 + 2(2t + -1)

Combine like terms: 12 + -6 = 6
6 + 6t = 12 + 2(2t + -1)

Reorder the terms:
6 + 6t = 12 + 2(-1 + 2t)
6 + 6t = 12 + (-1 * 2 + 2t * 2)
6 + 6t = 12 + (-2 + 4t)

Combine like terms: 12 + -2 = 10
6 + 6t = 10 + 4t

Solving
6 + 6t = 10 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
6 + 6t + -4t = 10 + 4t + -4t

Combine like terms: 6t + -4t = 2t
6 + 2t = 10 + 4t + -4t

Combine like terms: 4t + -4t = 0
6 + 2t = 10 + 0
6 + 2t = 10

Add '-6' to each side of the equation.
6 + -6 + 2t = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = 10 + -6
2t = 10 + -6

Combine like terms: 10 + -6 = 4
2t = 4

Divide each side by '2'.
t = 2

Simplifying
t = 2