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

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

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

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

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

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

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

Solving
2t = -2t

Solving for variable 't'.

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

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

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

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

Divide each side by '4'.
t = 0

Simplifying
t = 0