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

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

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

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

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

Solving
6 + 3x = 12 + -6t

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 12 + -6 + -6t

Combine like terms: 6 + -6 = 0
0 + 3x = 12 + -6 + -6t
3x = 12 + -6 + -6t

Combine like terms: 12 + -6 = 6
3x = 6 + -6t

Divide each side by '3'.
x = 2 + -2t

Simplifying
x = 2 + -2t