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

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

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

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

Solving
6 + -2t = -12 + -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 + -2t + 4t = -12 + -4t + 4t

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

Combine like terms: -4t + 4t = 0
6 + 2t = -12 + 0
6 + 2t = -12

Add '-6' to each side of the equation.
6 + -6 + 2t = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = -12 + -6
2t = -12 + -6

Combine like terms: -12 + -6 = -18
2t = -18

Divide each side by '2'.
t = -9

Simplifying
t = -9