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

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

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

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

Solving
6 + -2t = 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.
6 + -2t + -6t = 12 + 6t + -6t

Combine like terms: -2t + -6t = -8t
6 + -8t = 12 + 6t + -6t

Combine like terms: 6t + -6t = 0
6 + -8t = 12 + 0
6 + -8t = 12

Add '-6' to each side of the equation.
6 + -6 + -8t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -8t = 12 + -6
-8t = 12 + -6

Combine like terms: 12 + -6 = 6
-8t = 6

Divide each side by '-8'.
t = -0.75

Simplifying
t = -0.75